The sum of two numbers is 48. If the larger is divided by the smaller, the quotient is 10 and the remainder is 4. Find the numbers.
A) 45 and 3
B) 42 and 6
C) 39 and 9
D) 44 and 4
E) 41 and 7

Question

Quizplus · Accepted Answer

The larger number when divided by the smaller gives a quotient of 10 and a remainder of 4, which means the larger number is 10 times the smaller number plus 4. If we let the smaller number be x, then the larger number is 10x + 4. The sum of the two numbers is given as 48, so x + 10x + 4 = 48. Solving this equation gives x = 4, which means the smaller number is 4 and the larger number is 44.

The Sum of Two Numbers Is 48