Question

A ten year old boy is 120cm tall. If his present height is 75% of his full height, calculate the full height which the boy will eventuaĺly reach at the end of growth period.

Answer 1

Given:

A ten-year-old boy is 120cm tall. If his present height is 75% of his full height

To find:

The full height which the boy will eventuaĺly reach at the end of the growth period.

Solution:

Let "x cm" represents the full height of the boy.

So,

His present height is = 75% of full height = $\frac{75}{100}x$

But it is given that the 10-year-old boy at present is 120 cm tall.

Therefore, we can form an equation as:

$\frac{75}{100}x = 120$

$\implies \frac{3x}{4} = 120$

$\implies x = \frac{120 \times 4}{3}$

$\implies \bold{x = 160\:cm}$

Thus, the full height which the boy will eventuaĺly reach at the end of the growth period is → 160 cm.

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