Question

One number is six times another number. Their difference is 35. What are the two numbers?

Answer 1

The two numbers are 42 and 7.

Explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

Answer 2

The numbers are 7 and 42

Explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42