Question

If one-half of a number is 8 less than two-thirds of the number, what is the number?how?
1)24
2)32
3)48
4)54

Answer 1

$x-number\\\\ \frac{1}{2}x+8=\frac{2}{3}x\ \ \ |-\frac{1}{2}x \ from\ both\ sides\\\\ 8=\frac{2}{3}x-\frac{1}{2}x\\\\ Make\ a\ common\ denominator\\\\8=\frac{4}{6}x-\frac{3}{6}x\\\\ 8=\frac{1}{6}x\ \ |*6\\\\x=8*6\\\\x=48\\\\Answer\ is\ 3)\ 48.$