Question

(i) If the numerator of a fraction is increased by 1 its value value becomes 3/4 If it's denominator is increased by 2 it's value becomes 1/2 find the fraction
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Answer 1

Answer:

let x be numerator

y be denominator

fraction=x/y

case1

x+1/y=3/4

4x-3y=-4--------------eq1

case2

x/y+2=1/2

2x-y=2-------------------eq2

(eq2)*2=4x-2y=4

by elimination method,

4x-3y=-4

-

4x-2y=4

-------------------

-y=-8

y=8//////

sub y=8 in eq2

2x-8=2

2x=2+8=10

2x=10

x=10/2

x=5//////

thus fraction=5/8---------------------------------------------------------------ans

Step-by-step explanation: