Question

The present age of Vijaya's mother is four times the present age of Vijaya. After
6 years the sum of their ages will be 62 years. Find their present ages.​

Answer 1

answer

vijayas age=10

vijayas mother age=40

Answer 2

Answer:

$\large\bold\green{☑Verified Answer:-}$

Let Vijaya's present age be 'x' years.

Then,

Vijaya Vijayas Mother

Present age:- x 4x

Age after 6 yrs:- x + 6 yrs 4x + 6

Sum of their ages after 6 yrs. =

$= (x + 6) + (4x + 6) \\ = x + 6 + 4x + 6 \\ = 5x + 12$

But it is given that sum of their ages after 6 yrs is 62.

$5x + 12 = 62 \\ 5x = 62 - 12 \\ 5x = 40 \\ x = \frac{50}{5} = 10$

Therefore present age of Vijaya = x = 10 yrs.

Present age of Vijayas mother = 4x = 4×10 = 40 yrs.