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Inessa [10]
3 years ago
9

The product of 2 more than a number and 10 is 36 more than 8 times the number. What is the number?

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Here's my step-by-step explanation:

Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use <em>n</em> for number and translate from English to Algebraic.

- The product of 2 more than a number and 10 is 36 more than 8 times the number.

- The product of 2 more than <em>n</em> and 10 is 36 more than 8 times <em>n.</em>

<em>- </em>The product of 2 + <em>n</em> and 10 is 36 + 8<em>n.</em>

<em>- </em>(2 + <em>n</em>)(10) is 36 + 8<em>n.</em>

<em>- </em>(2 + <em>n</em>)(10) = 36 + 8<em>n</em>

Let's solve.

(2 + <em>n</em>)(10) = 36 + 8<em>n</em>

20 + 10<em>n</em> = 36 + 8<em>n</em>

10<em>n</em> - 8<em>n</em> = 36 - 20

2<em>n</em> = 16

<em>n</em> = 8

Hope this helps, let me know if I made a mistake or if you have any questions!

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