The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes ½. Find the fraction.
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Answer:
fraction become 5/7
Step-by-step explanation:
The numerator be x
The denominator be y
fraction become x/y
ATQ
x+y=12 [1] equation
it increased three time in denominator
x/y+3=1/2.
2 x = 2y + 3
2 x -y=3. [2 ]equation
from 1 and 2
x+y=12
2 x -y=3.
3x =15
x=5
put in equation 1
5+y=12
y=7
fraction become 5/7
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