Question

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

Answer 1

7x6=42. 7+35=42. The numbers are 7 and 42.

Answer 2

The two numbers are: 42 and 7

Explanation:

let x be the one number and y be the other number..

As per the statement:

One number is six times another number. Their difference is 35.

⇒
`x = 6y` .....[1]

and

`x -y = 35` .....[2]

Substitute equation [1] into [2] we get;

`6y-y = 35`

Combine like terms;

`5y = 35`

Divide both sides by 5 we get;

y = 7

Substitute the value of y =7 in [1] we get;

`x = 6(7) = 42`

Therefore, the two numbers are: 42 and 7