Question

One third of a number x is equal to 22 less the number. Write and solve an equation to find the number

Answer 1

In these types of questions the term "of" refers to multiplication. So 1/3 of X is X times 1/3 which is X/3. 22 less than X means X-22.

SO the equation here is X/3 = X-33, now we solve for X.

multiply both sides by 3 ---> X=3X-99
add 99 on both sides ---> X+99=3X
Subtract X on both sides ---> 99=2x
divide 2 on both sides ---> X=49.5