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

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 "

$\bf{{= > \frac{x + 4}{y + 4} = \frac{1}{3} }}$

$\bf{{ = > 3(x+4)=4+y}}$

$\bf{{ = > 3x+12 = 36-x+4}}$

$\bf{{ = > 3x+x=40-12}}$

$\bf{{= > x = 7}}$

Viraj's age is 7 years

Answer 2

$\huge\bf\fbox\red{Answer:-}$

Given X + Y = 38.

After one year, the ages and sum will be,

(X + 1) + (Y + 1) = X + Y + 2 = 38 +2 = 40.

Also given. mother age will be 4 times the daughters age

=> Y + 1 = 4(X + 1)

=> Y + 1 =4X + 4

=> Y = 4X + 4 - 1 = 4X + 3. —Eq1.

Now, X + Y = 38.

putting Y value from Eq1 in above statement we get,

X + (4X + 3) = 38

=> 5X + 3 = 38

=> 5X = 38 - 3 = 35.

=> X = 35/5 = 7.

Now, Y = (4X + 3) => 4(7) + 3 = 28 +3 = 31.

current ages of Mother and Daughter are 31 and 7 respectively.

Mothers are at the time of daughter’s birth will be 31 - 7 = 24.

24 years.