Find the fraction which becomes 1/2 when its numerator is increased by

1.	Find the fraction which becomes 1/2 when its numerator is increased by 6 and is equal to 1/3 when its denominator is increased by 7
Answer» Answer: Let the initial fraction is x/y If we increase numerator by 7 then the fraction becomes 1/2(given) =>x+6/y=1/2 =>2x+12=y (equation 1) If we increase DENOMINATOR by7 then the fraction becomes 1/3(given) =>x/y+7=1/3 =>3x=y+7 =>y=3x-7 (equation 2) From eqn 1 and 2 2x+12=3x-7 =>x=5 Substitute x=5 in EQ 1 we get value of y 2x+12=y 10+12=y Y=22 Therefore the fraction is 5/22

Find the fraction which becomes 1/2 when its numerator is increased by 6 and is equal to 1/3 when its denominator is increased by 7

Answer»

Answer:

Let the initial fraction is x/y

If we increase numerator by 7 then the fraction becomes 1/2(given)

=>x+6/y=1/2

=>2x+12=y (equation 1)

If we increase DENOMINATOR by7 then the fraction becomes 1/3(given)

=>x/y+7=1/3

=>3x=y+7

=>y=3x-7 (equation 2)

From eqn 1 and 2

2x+12=3x-7

=>x=5

Substitute x=5 in EQ 1 we get value of y

2x+12=y

10+12=y

Y=22

Therefore the fraction is 5/22

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Find the fraction which becomes 1/2 when its numerator is increased by 6 and is equal to 1/3 when its denominator is increased by 7

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