Question

two numbers are in the ratio 7:11.if 7 is added to each of the noumbers the ration becomes 2:3 find the numbers

Answer 1

X/y=7/11
y=11x/7
x+7/y+7=2/3
x+7/11x/7+7=2/3
x+7/11x+49/7=2/3
3x+21/2=11x+49/7
21x+147=22x+98
147-98=x
=>x=48.

y=approx 77

Answer 2

Let 2 no be x and y

A/q

X/y = 7 / 11 x = 7y / 11

X+7/ y+7 = 2/3

3x-2y +7

21y -22y +7 =0

Y=7

X= 49 / 11