Question

two namber are in the ratio 3;5 if each namber is incresed by 14 the ratio betwin the new namber formed is 5;7 find the namber

Answer 1

Let the no be 3x and 5x.

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$\frac{3x + 14}{5x + 14} = \frac{5}{7} \\ \\ 5(5x + 14) = 7(3x + 14) \\ \\ 25x + 70 = 21x + 98 \\ \\ 25x - 21x = 98 - 70 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7$

Hence, the no are

3x = 3 * 7 = 21

5x = 5 * 7 = 35

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