Question

Two numbers are such that the ratio between them is 4:5. If each is increased by 10, the ratio between the new numbers so formed is 13:15. Find the original numbers.

Answer 1

Answer:

$\frac{4x + 10}{5x + 10} = \frac{13}{15} \\ 15(4x + 10) = 13(5x + 10) \\ 60x + 150 = 65x + 130 \\ 65x - 60x = 150 - 130 \\ 5x = 20 \\ x = 4 \\ \\ \\ 4x = 16 \\ 5x = 20$

hence the numbers are 16 and 20

Step-by-step explanation:

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