Question

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

Answer 1

Answer:

The present age of Ramesh is 20 years

The present age of Mahesh is 28 years

Step-by-step explanation:

Let,

The present age of Ramesh = 5x

The present age of Mahesh = 7x

After four years,

The age of Ramesh = 5x + 4

The age of Mahesh = 7x + 4

And

The ratio of thier age will be 3 : 4

So,

⇒

⇒ 4 (5x +4) = 3 (7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 20x - 21x = 12 - 16

⇒ -1x = - 4

⇒ 1x = 4

⇒ x = 4

★ Value of 5x :

⇒ 5 (4)

⇒ 5 × 4

⇒ 20

★ Value of 7x:

⇒ 7 (4)

⇒ 7 × 4

⇒ 28

Therefore,

The present age of Ramesh is 20 years

The present age of Mahesh is 28 years

Answer 2

Answer:

Step-by-step explanation:

Present age of Ramesh-5x

Present age of Mahesh-7x

After 4 years

Age of Ramesh-5x+4

Age of Mahesh-7x+4

$\frac{5x+4}{7x+4} =\frac{3}{4}$

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

20x+16=21x+12

x=4

Present age of Ramesh=5x=20yrs

Preesent age of Mahesh=7x=28yrs

Hope It is easy to u to understand