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7. The ages of Hari and Harry are in the...

7. The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. The denominator of a rational number is greater than its numerator by 8. f the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is Find the rational number.

Text Solution

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Let the rational number be=a/b
`b=a+8`
`(a+17)/(b-1)=3/2`
`2a+34=3b-3`
`3(a+8)-2a=37`
`3a+24-2a=37`
`a=13`
`b=a+8=21`
...
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