find the fraction which is equal to 1/2 when both its numerator and denomunator are increased by 2. it is equal to 3/4 when both are increased by 12
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Let the numerator be x and denominator be y.
X+2/y+2 = 1/2.
By cross multiplying
2x+4 = y+2
2x - y = -2 (First equation)
x+12/y+13 = 3/4.
Cross multiply
4x+48 =3y+36
4x-3y = -12 (2nd equation)
2x-y= -2
2x=y-2.
X=y-2/2
Now substitute x in equation 2
4(y-2/2)-3y= -12
4y-8/2 -3y = -12
4y-8-6y/2= -12
-2y -8 =-12*2
y = -24+8/-2
=8
4x-24= -12
X= -12+24/4
= 3
X=3 Y=8
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nakshatraroicemathew:
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