In a cyclic quadrilateral ABCD, ∠A=(2x+4)° ,∠B=(y+3)° ,∠C=(2y+10)° , ∠D=(4x – 5)° Find the four angles.

Finding Angles of a Cyclic Quadrilateral Video Explanation Question In a cyclic quadrilateral ABCD: \[ \angle A = (2x + 4)^\circ,\quad \angle B = (y + 3)^\circ,\quad \angle C = (2y + 10)^\circ,\quad \angle D = (4x – 5)^\circ \] Find all four angles. Solution Step 1: Concept Opposite angles of a cyclic quadrilateral are […]

In a cyclic quadrilateral ABCD, ∠A=(2x+4)° ,∠B=(y+3)° ,∠C=(2y+10)° , ∠D=(4x – 5)° Find the four angles. Read More »

In a △ABC,​ ∠A = x° ,∠B = (3x – 2)°, ∠C = y°.Also ∠C – ∠B = 9° .find the three angles .

Finding Angles of Triangle Video Explanation Question In a triangle ABC: \[ \angle A = x^\circ,\quad \angle B = (3x – 2)^\circ,\quad \angle C = y^\circ \] Also, \[ \angle C – \angle B = 9^\circ \] Find the three angles. Solution Step 1: Concept Sum of angles in a triangle = \(180^\circ\) — Step

In a △ABC,​ ∠A = x° ,∠B = (3x – 2)°, ∠C = y°.Also ∠C – ∠B = 9° .find the three angles . Read More »

2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it?

Men and Boys Work Problem Video Explanation Question 2 men and 7 boys can do a piece of work in 4 days. 4 men and 4 boys can do the same work in 3 days. In how many days will one man and one boy do the work? Solution Step 1: Let Variables Let work

2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it? Read More »

ABCD is a cyclic quadrilateral such that ∠A=(4y+20)°, ∠B=(3y−5)°, ∠C=(4x)° and ∠D=(7x+5)°. Find the four angles.

Finding Angles of a Cyclic Quadrilateral Video Explanation Question ABCD is a cyclic quadrilateral where: \[ \angle A = (4y + 20)^\circ,\quad \angle B = (3y – 5)^\circ,\quad \angle C = (4x)^\circ,\quad \angle D = (7x + 5)^\circ \] Find all four angles. Solution Step 1: Concept In a cyclic quadrilateral, opposite angles are supplementary:

ABCD is a cyclic quadrilateral such that ∠A=(4y+20)°, ∠B=(3y−5)°, ∠C=(4x)° and ∠D=(7x+5)°. Find the four angles. Read More »

A and B each has some money. If A gives Rs 30 to B, then B will have twice the money left with A. But, if B gives Rs 10 to A, then a will have thrice as much as is left with B. How much money does each have?

Finding Money of A and B Video Explanation Question A and B each have some money. If A gives ₹30 to B, then B will have twice the money left with A. If B gives ₹10 to A, then A will have thrice as much as B. Find how much money each has. Solution Step

A and B each has some money. If A gives Rs 30 to B, then B will have twice the money left with A. But, if B gives Rs 10 to A, then a will have thrice as much as is left with B. How much money does each have? Read More »

The incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16 . If each saves Rs 1250 , find their incomes.

Finding Incomes of X and Y Video Explanation Question The incomes of X and Y are in the ratio 8 : 7. Their expenditures are in the ratio 19 : 16. Each saves Rs 1250. Find their incomes. Solution Step 1: Let Variables Let incomes of X and Y be \(8x\) and \(7x\) respectively Let

The incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16 . If each saves Rs 1250 , find their incomes. Read More »

In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.

Finding Dimensions of a Rectangle Video Explanation Question In a rectangle, if length is increased by 3 m and breadth is decreased by 4 m, the area is reduced by 67 sq m. If length is decreased by 1 m and breadth is increased by 4 m, the area is increased by 89 sq m.

In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle. Read More »

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. If the length is decreased by 7 metres and breadth is increased by 4 metres, the area is decreased by 21 sq. metres. Find the dimensions of the rectangle.

Finding Dimensions of a Rectangle Video Explanation Question The area of a rectangle remains the same if the length is increased by 7 m and the breadth is decreased by 3 m. If the length is decreased by 7 m and the breadth is increased by 4 m, the area is decreased by 21 sq

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. If the length is decreased by 7 metres and breadth is increased by 4 metres, the area is decreased by 21 sq. metres. Find the dimensions of the rectangle. Read More »

If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle.

Finding Area of a Rectangle Video Explanation Question In a rectangle, if length is increased by 2 units and breadth is decreased by 2 units, the area decreases by 28 sq units. If length is decreased by 1 unit and breadth is increased by 2 units, the area increases by 33 sq units. Find the

If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle. Read More »

A takes 3 hours more than B to walk a distance of 30 km. But, if A doubles his pace (speed) he is ahead of B by 1(1/2) hours. Find the speeds of A and B.

Finding Speeds of A and B Video Explanation Question A takes 3 hours more than B to walk 30 km. If A doubles his speed, he reaches 1.5 hours earlier than B. Find their speeds. Solution Step 1: Concept Time = Distance / Speed Step 2: Let Variables Let speed of A = \(x\) km/h

A takes 3 hours more than B to walk a distance of 30 km. But, if A doubles his pace (speed) he is ahead of B by 1(1/2) hours. Find the speeds of A and B. Read More »