The sum of two numbers is 35. One number is 4 times the other. Find the numbers.

28 and 7

Step-by-step explanation:

Let the two numbers be represented as A and B

The sum of two numbers is 35 .

That’s A + B = 35

One number is 4 times the other.

That’s A = 4B

So we now have

A + B = 35

A = 4B

Substitute 4B for A in the first equation.

We have

4B + B = 35

5B = 35

Divide both sides by 5

5B/5 = 35/5

B = 7

Now substitute 7 for B into either of the equations to get A.

Using equation two

We have

A = 4B

A = 4 x 7

A = 28

Therefore, the two numbers are 28 and 7