Question

The ages of hari & harry are in the ratio 5:7. 4 years from now the ratio of their ages will be 3.4. Find their present ages?
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Answer 1

Answer:

let their ages be 5x and 7x

after 4 years

ages become

5x+4 and 7x+4

ATQ,

5x +4/7x+4= 3/4

4(5x+4) = 3(7x+4)

20x+16=21x+12

16-12=21x- 20x

x=4

NOW,

5x+4= 5×4+4= 24yrs

& 7x+4= 7×4+4= 32yrs

thus there ages are 24 yrs and32 yrs respectively

CHECK :

the ratio of 24 & 32 when divided by 8

is 3:4 which is there present ratio of age

HOPE IT WILL HELP

Answer 2

Answer:

Present age of Hari = 20 yrs

Present age of Harry = 28 yrs

Step-by-step explanation:

Let the present ages of Hari and Harry be 5x yrs and 7x yrs respectively.

Then, After 4 years:

Hari's age = (5x+4) years

Harry's age = (7x+4) years

A/q

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

$4(5x+4) = 3(7x+4)$

$20x+16 = 21x+12$

$20x-21x = 12-16$

$-x = -4$

$x = 4$

Hence, present age of Hari = 5x yrs = (5×4) yrs = 20 yrs

and present age of Harry = 7x yrs = (7×4) yrs = 28 yrs