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\\\\ (1)/(2)x+8=(2)/(3)x\ \ \ |-(1)/(2)x \ from\ both\ sides\\\\ 8=(2)/(3)x-(1)/(2)x\\\\ Make\ a\ common\ denominator\\\\8=(4)/(6)x-(3)/(6)x\\\\ 8=(1)/(6)x\ \ |*6\\\\x=8*6\\\\x=48\\\\Answer\ is\ 3)\ 48.`