Question

One number is 3 times another number. If the smallest number is subtracted from 65 ,the result is 20 more than two- thirds the larger number. Find the numbers

Answer 1

Step-by-step explanation:

$let \: x \: and \: 3x \: be \: the \: smallest \: and \: largest \: number \: \\ respectively. \\ according \: to \: the \: question \\ 65 - x = \frac{2}{3} \times 3x + 20 \\ 65 - x = 2x + 20 \\ 3x = 45 \\ x = 15$

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