Question

madhav and gopal earned points in the ratio 5:6 . if each of them lost 8 points , the ratio would become 4:5 .find the points earned by them initially

Answer 1

Hi Harpal ,

Let initial points of Madhav = m
Let initial points of Gopal = g

Given
m / g = 5/6
m = 5g/6

After they loose 8 points each
m-8 / g-8 = 4/5
5m-40 = 4g-32

put m value in above equation

5(5g/6) - 40 = 4g-32
25g - 240 = 24g - 192
g = 48

so
m = 5g/6
= 40

so points earned by Madhav initially = m = 40 points
points earned by Gopal initially = g = 48 points

Hope it helped.
Let me know if any other doubts.
Cheers !!!