Question

The numerator of a fraction is 6 less than denominator.if the sum of numerator and denominator is 22.find the fraction?

Answer 1

let the nume. be X therefore domo. is X+6
and it is given that sum is 22
X+X+6=22
X=8
SO the friction is 8/14=4/7

Answer 2

hey let the numerator be X and the denominator be y
so a.t.q.
X=y-6
and
X+y=22

here we got 2 linear equations.
$x - y = -6 \\ x + y = 22$
on adding both we get

2x =16

X=8 putting it into first eq.

we get y= 14

so the fraction is 8/14

hope this might help you