The sum of two numbers is 40. When the greater number is divided by the smaller, the quotient is 4 and the remainder is 5. What are the numbers?

1 Answer
May 15, 2018

num1 (x) = 33
num2 (y) = 7

Explanation:

Let num1 = x and num2 = y

We know that

eq1: x + y = 40

eq2: x/y = 4 r 5

We solve these simultaneous equations by solving for one variable, in this case, I solve for x by isolating x in eq2

x = 4y r 5

We substitute this value of x in eq1

4yr5 + y = 40

We simplify and solve for y

4y + y = 35
5y =35
y = 7

We substitute y into one of the original equations and solve for x, in this case, eq1

x + 7 = 40
x = 40 - 7
x = 33

x = 33
y = 7