The value of a fraction is 2/5. If the numerator is decreased by 2 and the denominator increased by 1, the resulting fraction is equivalent to 1/4. Find the numerator of the original fraction.
Created: 5 years ago |
Updated: 2 years ago
best des
x/y = 2/5
= > 5x = 2y
= > 5x - 2y = 0
If you make the changes you get:
(x - 2)/(y + 1) = 1/4
= > 4x - 8 = y + 1
= > 4x - y = 9
So you have two equations and can solve for x and for y:
y = (5/2)x
Substitute that into the 2nd equation to solve for x:
4x - (5/2)x = 9
= > 1.5x = 9
∴x = 6
Substitute to solve for y:
y = (5/2)6
∴y = 15
x = 6, y = 15
Md Azizur Rahman
Founder of Satt
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