2) The ratio of Josie's age to Jose's age is 5:7. In how many years will their age be in the ratio of 4:5?

No. of years (x):

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

25 + 5x = 28 + 4x

x = 3

Answer: 3 years

Proof:

= (5 + 3) is to (7 + 3)

= 8 is to 10

= 8/2 is to 10/2

= 4 is to 5

In 3 years they will be 8 and 10 that will be 4:5

If josie now is 5 and Jose is 7, in the next 3 years Josie will be 8 and Jose will be 10. It means the ratio will be 4/5.

1:2

?

5:7-4:5=1:2

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