Question

8. The ratio of the present ages of Rajan and
Jay is 3:2. After five years, the ratio of their
ages will be 4:3. Find the present ages of
both.
​

Answer 1

Let the ratio of their present ages and ages after 5 yrs be x be x

therefore, Rajan's age is 3x and Jay's age is 2x

A/q

3x+5=4x

=5=4x-3x

therefore x=5

Now,

Rajan's present age is 3x=3*5=15

Jay's present age is 2x=2*5=10

Answer 2

$\boxed{GIVEN:-}$

Ratio of their present ages :- 8:5

Ratio of their ages after 6yrs :- 11:8

$\boxed{FIND:-}$

WE HAVE TO FIND THEIR PRESENT AGES....

$\boxed{SOLUTION:-}$

$let, \: their \: present \: ages \: be \: 8x,5x \\ \\ therefore \: after \: 8yrs \: there \: ages \: will \: be \: 8x + 6 ,5x + 6 \\ \\ so,8x + 6 \ratio5x + 6 = 11 \ratio8 \\ \\ \frac{8x + 6}{5x + 6} = \frac{11}{8} \\ cross \: multiply \: it \\ 8(8x + 6) = 11(5x + 6) \\ now \: solve \: it \: for \: value \: of \: x \: we \: have \\ x = 2 \\ so, \: present \: age \: jai = 8x = 8 \times 2 = 16 \\ present \: age \: of \: amy = 5x = 5 \times 2 = 10$