Question

An old rhyme and problem:

If to my age, there added be,

One half of it and three times three,

Four score and seven my age will be,

How old am I, pray tell me?

• A. $52$ years
• B. $50$ years
• C. $48$ years
• D. $54$ years

Answer 1

The correct option is A $52$ years

$1$ score $=20$ years

Let the age be $x$.

Then, $x+\frac{1}{2}x+3\times 3=4\times 20+7$

$\Rightarrow \frac{3}{2}x+9=80+7$

$\Rightarrow \frac{3}{2}x=78$

$\Rightarrow x=78\times \frac{2}{3}$

$\Rightarrow x=52$

Therefore, the age is $52$ years.