Question

the ratio of ages of two persons is 7 : 11 seven years hence,the ratio of their ages will be 2: 3 .find their present ages​

Answer 1

The present age of one person will be = 7x years = (7×5) = 35 years . The present age of other person will be = 11x years = (11×5) = 55 years .

Answer 2

S O L U T I O N :

Given :

The ratio of ages of two persons is 7:11. Seven years hence, the ratio of their ages will be 2:3.

Explanation :

Let the present age of one person be 7x years & let the other person be 11x years

A/q

5 years later :

The age of one person will = (7x + 5) years

The age of one person will = (11x + 5) years

Now,

➛ (7x + 5) : (11x + 5) = 2:3

➛ 7x + 5/11x + 5 = 2/3

➛ 3(7x + 5) = 2(11x + 5)

➛ 21x + 15 = 22x + 10

➛ 21x - 22x = 10 - 15

➛ - x = - 5

➛ x = 5 years

Thus,

The present age of one person will be = 7x years = (7×5) = 35 years .

The present age of other person will be = 11x years = (11×5) = 55 years .