Question

(2) The sum of two numbers is 25. If thrice the smaller number is subtracted
from twice the larger number, the subtraction is also 25. Find the
numbers.​

Answer 1

$let \: the \: smaller \: number \: and \: larger \: number \: be \: x \: and \: y \\ x + y = 25 \\ 2y - 3x = 25 \\ 2(x + y = 25) \\ 2x + 2y = 50 \\ 2x + 2y - (2y - 3y) = 50 - 25 \\ 2x + 2y - 2y + 3x = 25 \\ 5x = 25 \\ x = \frac{25}{5} = 5 \\ x + y = 25 \\ 5 + y = 25 \\ y = 25 - 5 = 20$