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Two numbers are in the ratio 5 : 3.
If 9 is subtracted from each, the new ratio becomes 2 : 1.
Find the larger original number.

Class 8Word ProblemsLinear Equations

A35
B40
C45
D55

Step-by-Step Solution

Numbers =

5 x

and

3 x . (5 x - 9) / (3 x - 9) = 2/1, 5 x - 9 = 2 (3 x - 9), 5 x - 9 = 6 x - 18, 9 = x

. Larger =

5 x = 45

.

Answer: C) 45

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