Problems based on Numbers Test 6

Question : 40 of 40

Marks: +1, -0

The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by

1 1 /4

. The fraction is:

Solution:

Let the numerator and denominater be x + 5 and x; then

{x+5 }/{x+5}={x+5}/x-5/4

⇒{x+5}/x=1+5/4

⇒{x+5}/x=9/4

⇒ 4x + 20 = 9x
⇒ 5x + 20
⇒ x = 4
Hence, fraction

={x+5}/x=9/4=2 1/4

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