Question

One-third of a number is 30 less than twice the given number.Find the number.​

Answer 1

$\sf \: Let \: the \: number \: be \: x. \\ \\ \sf \: A/Q, \\ \sf \: \frac{1}{3} x = 30 - 2x \\ \\ \sf \implies \: x = 3(30 - 2x) \\ \sf \implies \: x = 90 - 6x \\ \sf \implies \: x + 6x = 90 \\ \sf \implies \: 7x = 90 \\ \sf \implies \: x = \frac{90 }{7} \\ \\ \boxed{ \red{ \underline{\sf{ \implies{x = 12.85 \: \: or \: \: 12.9}}}}}$