SOLUTION: find a number such that the sum of seven times the number and five times the number is 84.

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Question 573019: find a number such that the sum of seven times the number and five times the number is 84.
Answer by mathsmiles(68) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is about converting words into numbers. Let's take one part at a time.

We want the sum of 7 times the number and 5 times the number to give 84
Let's make the number X.

7X + 5X = 84 Does this answer the original problem? Read it and see.

Now let's solve:
Combining X terms:
7X + 5X = 84
12X = 84
Divide both sides by 12:
X = 84/12
X = 7

Let's check:
Does the sum of 7 times 7 and 5 times 7 equal 84?
7x7 + 5x7 = 84?
49 + 35 = 84?
84 = 84 Correct!