Question

Question 80

If 45 is added to half a number, the result is triple the number. Find the number.

Answer 1

Let x be the number. Then, half the number is $\frac{x}{2}.$
According to the question,
$\frac{x}{2}+45=3x\Rightarrow \frac{x+90}{2}=3x\Rightarrow x+90=6x\Rightarrow x=\frac{90}{5}=18$
Hence, the number is 18.