SOLUTION: The sum of two numbers is 90. If three times the smaller number is subtracted from the larger number, the result is 14. Find the two numbers.
Question 1136547: The sum of two numbers is 90. If three times the smaller number is subtracted from the larger number, the result is 14. Find the two numbers. Answer by ikleyn(52824) (Show Source):
Let x be the smaller number.
Then the greater number is (90-x).
The condition then says
(90-x) - 3x = 14.
Simplify and solve for x.
90 - x - 3x = 14
90 - 14 = x + 3x
76 = 4x =================> x = 76/4 = 19.
ANSWER. The smaller number is 19; the larger number is 90-19 = 71.
CHECK. 71 - 3*19 = 71 - 57 = 14. ! Correct !