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### Question

A number is multiplied by 2, then 24 is added to it. The result remains the same if 14 is multiplied to the number and then 240 subtracted. What is the number?

**A**

22.

**B**

23.

**C**

21.

**D**

24.

**Soln.**

**Ans: a**

Let the number be n. From the given conditions we have $2n + 24 = 14n - 240$. Rearranging we have $240 + 24 = 14n - 2n$, ⇒ $n = {240 + 24}/{14 - 2}$. So n = 22.