two numbers are in the ratio 4:5 .if 3vis added to each of them , the place ratio change to 5:7 find the number
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Let x and y be the numbers.
Given,x:y=4:5 or yx=54
x=54y …(1)
x−30:y−30=1:2 or y−30x−30=21
2(x−30)=y−30
x=2y+30 …(2)
From (1) and (2):
54y=2y+30
8y=5y+150
3y=150⟹y=50
Substituting this value of y in (1):
x=54y=54(50)=40
∴40 and 50 are the numbers.
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