Question

If the numerator of a fraction is multiplied by 2 and its denominator is decreased by 1 it becomes 1.if the numerator is increased by 4 and denominator is x to the fraction becomes 1 upon 2 find the fraction

Answer 1

Hi there!

Here's the answer:

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Let the original fraction be (x/y)

Given,

If the numerator of a fraction is multiplied by 2 and its denominator is increased by 2, (x/y) becomes 6/7.

(2x)/(y+2) = (6/7)

=> 7(2x) = 6(y+2)

=> 14x - 6y = 12

=> 7x - 3y = 6

……………………………eq(1)

&

If the denominator is multiplied by 2 and increase the numerator by 2,(x/y) reduces to 1/2

(x+2)/(2y) = (1/2)

=> 2(x+2) = (2y)

=> 2x - 2y = -4

=> x - y = -2

……………………………eq(2)

Solve eq(1) & eq(2):

x = 3 & y = 5

•°• Original fraction (x/y) = (3/5)

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Verification:

Fraction = (3/5)

(2×3)/(5+2)= 6/7

(3+2)/(2×5) = 5/10 = 1/2

•°• Given Data matched

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:)

Hope it helps

Answer 2

Step-by-step explanation:

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