Question

The sum of the ages of Viraj and her mother is 36 yrs. After 4 years, the ratio of their
ages will be 1:3. Find the Viraj's present age.​

Answer 1

Answer:

$7 \: \bf \: years$

Explanation:

Let Viraj's age be " x "

Viraj's mother's age be " y "

After 4 years Viraj's age is " x + 4 "

Viraj's mother's age is " y + 4 "

$\tt\implies \: \dfrac { x + 4 } { y + 4 } = \dfrac { 1 } { 3 }$

$\tt\implies \: 3( x + 4 ) = y + 4$

$\tt\implies \: 3x + 12 = 36 - x + 4$

$\tt\implies \: 3x + x = 40 - 12$

$\tt\implies \: 4x = 28$

$\tt\implies \: x = \cancel\dfrac { 28 } { 4 }$

$\tt\implies \: x = 7$

Hence, Viraj's age is 7 years.