Question

the numerator and the denominator of a raTional number are in the ratio 5:11 when 7 added to both numerator and the thief becomes 2:3 whaT is the rational number solution of the question

Answer 1

5+7/11+7=2/3


3 (5+7)=2 (11+7)

3 (12)=2 (18)

36=36

answer is correct

Answer 2

let denominator be y and numerator be x
A. T.O
x/y=5/11 (1)
x/y+3 =2/3.......(2)
by cross multiplication in equation (1)
11x= 5y
x=5y/11......(3)
by solving equation (2) we get
3x-2y+3=0
from equation (3)
3(5y/11)-2y+3=0
15y/11-2y+3=o
-7y/11=-3
y=33/7
put it in equation (3)
x=5/11*33/7
x=15/7