Question

If the ratio of present ages of jeet and jay is 5:7 and after 6 years the ratio will be 3:4, what is the present age of jay?

Answer 1

Answer:

42

Step-by-step explanation:

Let say Jeet Present Age = 5x

then Jay present age = 7x

as their ages ratio = 5:7

After 6 years Jeet age would be = 5 x + 6

After 6 years Jay age would be = 7x + 6

Their ages Ratio = 3:4

$\frac{5x+6}{7x+6} = \frac{3}{4}$

=> 20x + 24 = 21x + 18

=> 6 = x

=> x = 6

Present age of Jay = 7x = 7 *6 = 42

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....

$\boxed{SOLUTION:-}$

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