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. Find the rational number. Asked by Arumugam Last Modified
Answer Let the numerator of the rational number be x. Therefore, its denominator will
be x + 8.
The rational number will be
. According to the question,
⇒ 2(x + 17) = 3(x + 7)
⇒ 2x + 34 = 3x + 21
⇒ 34 − 21 = 3x − 2x
⇒13 = x
Numerator of the rational number = x = 13
Denominator of the rational number = x + 8 = 13 + 8 = 21
Rational number 
assume a rational number of the form x/y.
y=x+8 ......................(1)
new rational number=(x+17)/(y-1)=3/2..................(2)
doing cross multiplication on (2)
2(x+17)=3(y-1)
2x+2*17=3y-3
2x+34=3y-3
2x=3y-3-34
2x=3y-37.................(3)
2x=3(x+8)-37
2x=3x+3*8-37
2x=3x+24-37
2x=3x-13
3x-2x=13
x=13
y=x+8=13+8=21
so the rational number is 13/21
substituting (1) in (3)
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