# The difference between two multiples of ten is 330. The total of them is 710. What are the two numbers?

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is there a way to do this calculation without using simultaneous equations?

is there a way to do this calculation without using simultaneous equations?

##### 2 Answers

See a solution process below:

#### Explanation:

We can first name our variables. Because they are multiples of

From the information in the problem we can write two equations:

**Equation 1:**

**Equation 1:**

**Step 1:** Solve the first equation for

**Step 2:** Substitute

** Step 3:** Substitute

**Solution:**

If

If

The numbers are: 520 and 190

the first number is

#### Explanation:

Let the numbers be

Then the difference is:

and their sum is:

If we sum the equations side by side, we'll get:

that's

and

We can find y by subtracting the equations side by side:

that's

then the first number is

and the second one is