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# integer word problems

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the sum of the ages of the three Romano brothers is 63. If their ages can be represented as consecutive integers,
what is the age of the middle brother?

Jun 16, 2021

#1
+26222
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The sum of the ages of the three Romano brothers is 63.
If their ages can be represented as consecutive integers,
what is the age of the middle brother?

$$\begin{array}{|rcll|} \hline (r_2-1) + r_2 +(r_2+1) &=& 63 \\ 3r_2 &=& 63 \quad | \quad : 3 \\ \mathbf{r_2} &=& \mathbf{21} \\ \hline \end{array}$$

The age of the middle brother is 21

Jun 16, 2021