Tim is thinking of two numbers. The quotient of the two numbers is 9. The difference of the two numbers is 48. The sum of the two numbers is 60. What are the two numbers.
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Let the two numbers be x and y, then
x - y = 48 . . . Eq(1)
x + y = 60 . . . Eq(2)
Eq(2) - Eq(1)
(x+y=60) -(x-y =48)
-2y = -12
y = -12/-2
= 6
From (1),
x - 6 = 48
x = 48 + 6
= 54
Therefore, the two numbers are 54 and 6.