Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2:3. Find the smaller number.
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Step-by-step explanation:
Let the numbers be 3x and 5x respectively.
when 8 is added to both number the became
(3x+8) and (5x+8) respectively.
ATQ
3x+8/5x+8 = 2/3
2(5x+8) = 3(3x+8)
10x+16 = 9x+24
10x-9x = 24-16
x = 8
As smaller number is 3x
hence smaller no is 3*8
that is 24
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