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 years

Step-by-step explanation:

Let the present age of Viraj be V and that of her mother be M.

Sum of ages = 36

 V + M = 36     ⇒ M = 36 - V     ..(1)

After 4 years,

Age of Viraj and her mother will be V + 4 and M + 4, and ratio will be 1:3.

⇒ (V + 4)/(M + 4) = 1/2

⇒ 3(V + 4) = (M + 4)

⇒ 3V + 12 = 36 - V + 4    [from (1)]

⇒ 3V + V = 36 + 4 - 12

⇒ 4V = 28

⇒ V = 28/4 =  7

Hence, the present age of VIraj is 7 years

Answer 2

Question:-

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

To Find:-

• Find the Viraj's present age.

Given:-

• The sum of the ages of Viraj and her mother is 36 years. After 4 years, the ratio of their ages will be 1 : 3.

Solution:-

• 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.