Question

The sum of two numbers is 175. The first number is 35 less than five times the second number. Write and solve a system of equations to find the two numbers

Answer 1

FIrst number = 35

Second number = 140

Explanation:

Sum = 175

Second number = x

First number = 5x - 35

=> x + 5x - 35 = 175

=> 6x - 35 = 175

=> 6x - 35 + 35 = 175 + 35

=> 6x = 210

=> 6x/6 = 210/6

=> x = 35

Second number = x = 35

First number = 5x - 35 = 5 * (35) - 35 = 175 - 35 = 140

First number = 140

Second number = 35