The sum of numerator and denominator of a fraction is 12 if the denominator is increased by b3 the fraction become ½ then the fraction
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The sum of numerator and denominator of a fraction is 12 if the denominator is increased by b3 the fraction become ½ then the fraction
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Step-by-step explanation:
Given:the sum of numerator and denominator of a fraction is 12.If the denominator is increased by 3 the fraction becomes 1/2
Question:
The sum of numerator and denominator of a fraction is 12 if the denominator is increased by 3 the fraction become ½ then the fraction.
Required answer:
Solution:
Let the numerator be 'x'
Denominator be 'y'
x + y = 12.........(1)
2x = y + 3
2x - y = 3.......(2)
multiple equation (1) by 2 = 2x + 2y = 24
(-) (-) (-)
multiple equation (2) by 1 = 2x - y = 3
3y = 21
Substitute y value in equation (1)
x + 7 = 12
x = 12 - 7
x = 5
It's confusing but I will verify it.
x + y = 12
Substituting x value and y value to verify
5 + 7 = 12
12 = 12
L.H.S = R.H.S
Hence, verified