Educational

A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find their present ages.

Father and Son Age Problem Video Explanation Question A father is three times as old as his son. After 12 years, his age will be twice that of his son. Find their present ages using linear equations in two variables. Solution Step 1: Let the Variables Let father’s present age = \(x\) years Let son’s

A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find their present ages. Read More »

Solve a fraction word problem involving multiplication and change in numerator and denominator using linear equations with step-by-step algebraic solution perfect for exams.

Solving a Fraction Word Problem Video Explanation Question If the numerator of a fraction is multiplied by 3 and the denominator is reduced by 4, the fraction becomes \( \frac{3}{2} \). If the numerator is increased by 5 and the denominator is doubled, the fraction becomes \( \frac{2}{3} \). Find the fraction. Solution Step 1:

Solve a fraction word problem involving multiplication and change in numerator and denominator using linear equations with step-by-step algebraic solution perfect for exams. Read More »

If the numerator of a fraction is multiplied by 2 and the denominator is reduced by 5 the fraction becomes 6/5 . And, if the denominator is doubled and the numerator is increased by 8 , the fraction becomes 2/5 . Find the fraction.

Finding the Required Fraction Video Explanation Question If the numerator of a fraction is multiplied by 2 and the denominator is reduced by 5, the fraction becomes \( \frac{6}{5} \). If the denominator is doubled and the numerator is increased by 8, the fraction becomes \( \frac{2}{5} \). Find the fraction. Solution Step 1: Let

If the numerator of a fraction is multiplied by 2 and the denominator is reduced by 5 the fraction becomes 6/5 . And, if the denominator is doubled and the numerator is increased by 8 , the fraction becomes 2/5 . Find the fraction. Read More »

The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3 they are in the ratio 2:3 . Determine the fraction.

Finding the Required Fraction Video Explanation Question The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\)

The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3 they are in the ratio 2:3 . Determine the fraction. Read More »

A fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

Finding the Required Fraction Video Explanation Question A fraction becomes \( \frac{1}{3} \) when 2 is subtracted from the numerator. It becomes \( \frac{1}{2} \) when 1 is subtracted from the denominator. Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator = \(y\) Step 2: Form the

A fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction. Read More »

If 2 is added to the numerator of a fraction, it reduces to 1/2 and if 1 is subtracted from the denominator, it reduces to 1/3. Find the fraction.

Finding the Required Fraction Video Explanation Question If 2 is added to the numerator of a fraction, it becomes \( \frac{1}{2} \). If 1 is subtracted from the denominator, it becomes \( \frac{1}{3} \). Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator = \(y\) Step 2:

If 2 is added to the numerator of a fraction, it reduces to 1/2 and if 1 is subtracted from the denominator, it reduces to 1/3. Find the fraction. Read More »

The sum of a numerator and denominator of a fraction is 18 .If the denominator is increased by 2 , the fraction reduces to 1/3. Find the fraction.

Finding the Required Fraction Video Explanation Question The sum of the numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to \( \frac{1}{3} \). Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator = \(y\) Step 2: Form

The sum of a numerator and denominator of a fraction is 18 .If the denominator is increased by 2 , the fraction reduces to 1/3. Find the fraction. Read More »

When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3 . Find the fraction.

Finding the Required Fraction Video Explanation Question When 3 is added to the denominator and 2 is subtracted from the numerator, the fraction becomes \( \frac{1}{4} \). When 6 is added to the numerator and the denominator is multiplied by 3, it becomes \( \frac{2}{3} \). Find the fraction. Solution Step 1: Let the Variables

When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes 1/4. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3 . Find the fraction. Read More »

The sum of the numerator and denominator of a fraction is 12 . If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction

Finding the Required Fraction Video Explanation Question The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes \( \frac{1}{2} \). Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator = \(y\) Step 2: Form the

The sum of the numerator and denominator of a fraction is 12 . If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction Read More »

If we add 1 to the numerator and subtract 1 from the denominator, a fraction becomes 1 . It also becomes 1/2 if we only add 1 to the denominator. What is the fraction?

Finding the Required Fraction Video Explanation Question If 1 is added to the numerator and 1 is subtracted from the denominator, the fraction becomes 1. It becomes \( \frac{1}{2} \) if 1 is added only to the denominator. Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator

If we add 1 to the numerator and subtract 1 from the denominator, a fraction becomes 1 . It also becomes 1/2 if we only add 1 to the denominator. What is the fraction? Read More »