by Ira
(Texas)
If a number is added to the numerator of 11/64 and twice the number is added to the denominator of 11/64, the resulting fraction is equivalent to 1/5. Find the number.
Let x be the number
We get 11 + x / 64 + 2x = 1 / 5
Cross multiply
We get:
5 (11 + x) = 64 + 2x
55 + 5x = 64 + 2x
5x - 2x = 64 - 55
3x = 9
x = 3