Question

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

Answer 1

Let their ages be x.(Raj is 3x and Jay is 2x)
A.T.Q. 3x+5+2x+5=4x+3x
5x+10=7x
-7x+5x=-10
-2x=-10
x=-10/-2
x=5

Raj's present age=3x=3(5)=15
Jay's present age=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....

$\boxed{SOLUTION:-}$

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