Question

The numerator of a fraction is 3 less than its denom
inator. If we add 1 to both numeraton and
denominator, it becomes equal 8. Find the fraction

Answer 1

the numerator of a fraction is 3 less than its denominator.

n = d - 3

:

if we add 1 to both numerator and denominator it becomes equal to 2/3.

%28%28n%2B1%29%29%2F%28%28d%2B1%29%29 = 2/2F3

Cross multiply

3(n+1) = 2(d+1)

3n + 3 = 2d + 2

3n = 2d + 2 - 3

3n = 2d - 1

replace n with (d-3), from the 1st equation

3(d-3) = 2d - 1

3d - 9 = 2d - 1

3d - 2d = -1 + 9

d = 8

then

n = 8 - 3

n = 5

therefore

What is the fraction?

:

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