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
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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 !!!
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 !!!
jish4you:
hope it helped you
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