Question

Q) The sum of the ages of Viraj and his mother is 36 yrs. After 4 years, the ratio of ages will be 1:3. Find the Viraj's present age ?

(1) 8 years.
(2) 11 years.
(3) 9 years.
(4) 7 years. ​

Answer 1

Option 4 is correct thanks

Answer 2

Given :

• The sum of the ages of Viraj and his mother is 36 years.

To Find :

• Find the Viraj's present age ?

Solution :

• Let us assume.

➣ The Viraj's present age be x.

➣ His mother's present age = (36 - x)

After 4 years,

➣ Viraj's age = (x + 4)

➣ His mother's age = (36 - x + 4)

The ratio of ages will be 1 : 3.

➣ Viraj : His mother = 1 : 3

➣ (x + 4) : (36 - x + 4) = 1 : 3

According to the question :

➣ (x + 4) : (36 - x + 4) = 1 : 3

➣ (x + 4)/(40 - x) = 1/3

• Cross multiplication.

➣ 3(x + 4) = 1(40 - x)

➣ 3x + 12 = 40 - x

➣ 3x + x = 40 - 12

➣ 4x = 28

➣ 4x = 4(7)

• Cancelling 4.

➣ x = 7

Therefore,

• The Viraj's present age = 7 years.

Hence,

• The correct option is (4) 7 years.