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

Question

Algebra 

Answer 1

(1/3) x = x - 22  This is the equation corresponding to the statement in the question.

 

(1/3) x - x = -22

-(2/3) x = -22

-2x = -66

x = 33

 

If you plug that value of x in the original equation, one-third of 33 equals 11.  33 minus 22 = 11.

 

Hope it helps.