Question 43

Two numbers are in the ratio 3 : 5. If 13 is subtracted from each, the new numbers are in the ratio 10 : 21, If 15 is added to each ofthe original numbers, then the ratio becomes:

Solution

Let the two numbers be 3x and 5x.
ATQ,
$$\frac{3x - 13}{5x - 13} = \frac{10}{21}$$
63x - 273 = 50x - 130
13x = 143
x = 11
Required ratio = 3 $$\times11 + 15 : 5 \times 11 + 15$$ = 48 : 70 = 24 : 35


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