Question

the ratio of present age of Ramesh and Mahesh is 5:7 . After 4 years the ratio of their age will be 3:4. Find out their present age.​

Answer 1

ANSWER:

• Present age of Ramesh = 20

• Present age of Mahesh = 28

GIVEN:

• The ratio of present age of Ramesh and Mahesh is 5 : 7.

• After 4 years the ratio of their age will be 3 : 4.

TO FIND:

• The present age of Ramesh and Mahesh.

EXPLANATION:

Let the present age of Ramesh be 5x and the present age of Mahesh be 7x.

After four years:

3(x + 4) = 4(x + 4)

3x + 12 = 4x + 16

x = 4

Present age of Ramesh = 5(4) = 20

Present age of Mahesh = 7(4) = 28

VERIFICATION:

Ratio of age of Ramesh to age of Mahesh:

5x / 7x = 20 / 28 = 5 / 7

Hence the ratio of their present age = 5 : 7.

Ratio of age of Ramesh to age of Mahesh after four years:

(5x + 4) / (7 x + 4) = (20 + 4) / (28 + 4)

(5x + 4) / (7 x + 4) = 24 / 32

(5x + 4) / (7 x + 4) = 3 / 4

Hence the ratio of their age after four years will be 3 : 4.

HENCE VERIFIED.

Answer 2

Answer:

Present age of Ramesh is 20 years and Mahesh is 28 years.

Step-by-step explanation:

Assume that the present age of Ramesh be 5x and Mahesh be 7x.

After 4 years:

• Age of Ramesh = (5x + 4) years
• Age of Mahesh = (7x + 4) years

After 4 years the ratio of their age will be 3:4.

As per given condition,

→ (5x + 4)/(7x + 4) = 3/4

→ 4(5x + 4) = 3(7x + 4)

→ 20x + 16 = 21x + 12

→ 21x - 20x = 16 - 12

→ x = 4

Hence, the present age of:

• Ramesh = 5x = 5(4) = 20 years
• Mahesh = 7x = 7(4) = 28 years