Question

Lalita us one seventh as old as her father. In 8 years she will be one third as oild as father . What is their present age?

Answer 1

Answer:

Let Lalita's age be x

Father's age be 7x

According to question:-

$\frac{1}{3} \times (7x + 8) = x + 8$

7x+8=3(x+8)

7x+8=3x+24

7x-3x=24-8

4x=16

$x = \frac{16}{4}$

x=4 years

Present age of Lalita=4 years

Present age of her father=7x

7(4)

=28 years

Verification:-

1/3×(7x+8)=x+8

1/3×(7(4)+8)=4+8

1/3×(28+8)=12

1/3×(36)=12

12=12

Hence,proved.