Math, asked by janavedineshkumar, 7 months ago

The ratio of the present ages of Jai and Amy is 8:5. If their ages after 6 years would be in the ratio 11:8, find their present ages.

Answers

Answered by NishchhalJha
3

Answer:

16,10

Step-by-step explanation:

Let their present ages be 8x and 5x respectively

After 6 years

Jai age = 8x + 6 = 11x

Army age = 5x + 6 = 8x

8x + 6 = 11x

6 = 11x - 8x

6 = 3x

x = 2

Jai present age = 8x = 8×2 = 16 years

Amy present age = 5x = 5×2 = 10 years

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Answered by Anonymous
1

 \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

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