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Moses added two thirds of a number and one fifths of the same number to get a result of 39. What is the number?

User Indo
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1 Answer

5 votes

Answer:

45

Explanation:

Let the number be X.

So 2/3 of a number would be (2/3)x and 1/5 of the same number would be (1/5)x. Therefore, (2/3)x+(1/5)x=39. Next, you combine like terms by converting the fractions: (10/15)x+(3/15)x=39. Now, you add the fractions. (13/15)x=39. Lastly you divide both sides by 13/15 or multiply both sides by 15/13. x=45. That number would be 45.

If you would like to check, you would do 2/3(45) or 90/3 which is 30 and do 1/5(45) or 45/5 which is 9. 30+9=39

User Ali Mezgani
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