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Answer :

Let the numerator be x.

and denominator be y

As given y= (x + 8)

Also as per the conditions given, we have

\(\frac{x+17}{x+8-1}=\frac{3}2\)

\( \Rightarrow \frac{x+17}{x+7}=\frac{3}2\)

\(\Rightarrow 2(x + 17) = 3(x + 7) \quad\)[Cross-multiplication]

\(\Rightarrow 2x + 34 = 3x + 21\quad \)[Solving the bracket]

\(\Rightarrow 2x – 3x = 21 – 34 \quad \)[Transposing 3x to LHS and 34 to RHS]

\(\Rightarrow -x = -13\)

\(\Rightarrow x = 13\)

Hence, numerator = 13

and denominator = 13 + 8 = 21

Thus, the rational number is \(\frac { 13 }{ 21 }\).

- 1. \(\frac { 8x-3 }{ 3x } =2\)
- 2. \(\frac { 9x }{ 7-6x } = 15\)
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- 4. \(\frac { 3y+4 }{ 2-6y } =\frac { -2 }{ 5 }\)
- 5. \(\frac { 7y+4 }{ y+2 } =\frac { -4 }{ 3 }\)
- 6. 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.

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