Question

the ratio of present ages of Rajan and Jay is 3 : 2 after 5 years ,the ratio of their ages will be 4:3 find the present age of both​

Answer 1

Answer:

⚠Here's your answer⚠

Let the present age of Ranjan and Jay is be 3x and 2x

After 5 years

According to question

$\frac{3x + 5}{2x + 5} = \frac{4}{3} \\ \\ 3(3x + 5) = 4(2x + 5) \\ \\ 9x + 15 = 8x + 20 \\ \\ 9x - 8x = 20 - 15 \\ \\ x = 5$

SO The present ages of Ranjan and Jay is 15 and 10 years...

Hope it helps ✌✌....

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....

$\boxed{SOLUTION:-}$

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