Question

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Answer 1

Step-by-step explanation:

✬ Ramesh age = 20 Years ✬

✬ Mahesh age = 28 Years ✬

Step-by-step explanation:

Given:

Ratio of present ages of Ramesh and Mahesh is in ratio 5 : 7.

After 4 years their ages will be in ratio 3 : 4.

To Find:

What is the present ages of both ?

Solution: Let x be the common in given ratio. Therefore,

➼ Ramesh's age = 5x years

➼ Mahesh's age = 7x years

[ Now after 4 years their ages will be ]

➫ Ramesh age = 5x + 4 years

➫ Mahesh age = 7x + 4 years

A/q

After 4 years their ages will be in ratio 3 : 4

\implies{\rm }⟹ (5x + 4) : (7x + 4) = 3 : 4

\implies{\rm }⟹ (5x + 4)/(7x + 4) = 3/4

\implies{\rm }⟹ 4(5x + 4) = 3(7x + 4)

\implies{\rm }⟹ 20x + 16 = 21x + 12

\implies{\rm }⟹ 20x – 21x = 12 – 16

\implies{\rm }⟹ –x = – 4

\implies{\rm }⟹ x = 4

So, Present ages are

➭ Ramesh age = 5x = 5(4) = 20 years

➭ Mahesh age = 7x = 7(4) = 28 years