Question

5. The denominator of a rational number is greater
than its numerator by 7. If the numerator is
increased by 17 and the denominator is decreased
by 6, the new number becomes 2. Find the
original number.
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Answer 1

Answer:

Let the numerator of the fraction be x

Then, the denominator will be x + 7

Given,

the numerator is increased by 17 and denominator is decreased by 6

then, numerator will be x+17

and denominator will be x+7-6 =x+1

the fraction will be= x+17/x+1

x+17/x+1 =2

x+17 = 2(x+1)

x+17=2x+2

x-2x=2-17

-x=-15

x=15

So the numerator will be x =15

and denominator will be x +7=15+7=22

Therefore the original fraction was 15/22

Hope it was helpful

Answer 2

Answer:

X =15

will be your answer