SOLUTION: Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number?      Log On


   

Question 350916: Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let the numbers be x & y ----> x%2Fy=3%2F5. Being x the smaller number as represented in the ratio, it is equal to 42 as stated.

Therefore, 42%2Fy=3%2F5, cross multiply
%2842%29%285%29=%28y%29%283%29
210=%28y%29%283%29
cross%28210%2970%2Fcross%283%29=%28y%29cross%283%29%2Fcross%283%29
red%28y=70%29, Answer - the greater number.

Substituting,
42%2F70=3%2F5 ----> left side is factorable, divide both numerator & denominator by 14;
cross%2842%293%2Fcross%2870%295=3%2F5
3%2F5=3%2F5, oks

Thank you,
Jojo