Question

if the numerator of fraction is is multiplied by 4 and the denominator is reduced by 2,the result is 4.if the numerator of fraction is increased by 10 and 2 is subtracted from the double of the denominator;the result is 5/4. find the fraction. ​

Answer 1

Answer:

Let the fraction be yx

Then, according to the given conditions, we have

y−33x=1118 and 2yx+8=52

⇒11x−6y−18 and 5x+40=4y

⇒11x−6y+18=0 and 5x−4y+40=0

By cross-multiplication, we have

(−6)×40−(−4)×18x=11×40−5×18−y=11×(−4)−5×(−6)1

⇒−240+72x=440−90−y=−44+301

⇒−168x=−350y=−141

Step-by-step explanation:

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