Discussion of Question with ID = 029 under Problems-on-Numbers

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Question

A number is multiplied by 3, then 13 is added to it. The result remains the same if 13 is multiplied to the number and then 67 subtracted. What is the number?

A

8.

B

9.

C

7.

D

10.

Soln.
Ans: a

Let the number be n. From the given conditions we have $3n + 13 = 13n - 67$. Rearranging we have $67 + 13 = 13n - 3n$, ⇒ $n = {67 + 13}/{13 - 3}$. So n = 8.


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