The denominator of a rational number is greater than its numerator by 5. If the numerator is increased by 12 and denominator decreased by 3, the obtained rational number is 5/3. Then find the rational number
Answers
Answered by
2
let numerator be x
∴the denominator will be x+8
∴the denominator will be x+8 ⇒x+17/x+8-1=3/2
⇒x+17/x+7=3/2
⇒2(x+17)=3(x+7)
⇒2x+34=3x+21
⇒34-21=3x-2x
⇒13=x
∴x/x+8 = 13/21 (Ans)
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Answered by
0
Answer:
=13/21
Step-by-step explanation:
let numerator be x
∴the denominator will be x+8
⇒x+17/x+8-1=3/2
⇒x+17/x+7=3/2
⇒2(x+17)=3(x+7)
⇒2x+34=3x+21
⇒34-21=3x-2x
⇒13=x
∴x/x+8
=13/21 (Ans )
hope its help you
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