Cody was

\[165\,\text{cm}\] tall on the first day of school this year, which was
\[10\%\] taller than he was on the first day of school last year.
How tall was Cody on the first day of school last year?

1 answer

If Cody was 165 cm tall on the first day of school this year, and this height represents a 10% increase compared to his height on the first day of school last year, let's calculate his height for last year.

Let x be Cody's height on the first day of school last year. The 10% increase in his height would be represented as x + 0.10x (which is the same as 1.10x). This total needs to equal his current height of 165 cm.

So the equation we need to solve is:

1.10x = 165

To find x, we would divide both sides by 1.10:

x = 165 / 1.10
x = 150

Therefore, Cody was 150 cm tall on the first day of school last year.