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# Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.

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Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.

How old is Brandon now? can somebody help me through this step by step thank you D:

BentoBot  May 5, 2017

#1
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Michael is 12 years older than Brandon. Seventeen years ago,

Michael was 4 times as old as Brandon.

How old is Brandon now?

Let m = Michael
Let b = Brandon

$$\begin{array}{|lrcll|} \hline (1) & m &=& b+12 \\\\ (2) & m-17 &=& 4\cdot (b-17) \quad & | \quad m=b+12 \\ & b+12-17 &=& 4\cdot (b-17) \\ & b+5 &=& 4b- 68 \\ & 3b&=& 63 \\ & \mathbf{b} & \mathbf{=} & \mathbf{21} \\\\ (1) & m &=& b+12 \quad & | \quad b=21 \\ & m &=& 21+12 \\ & \mathbf{m} & \mathbf{=} & \mathbf{33} \\ \hline \end{array}$$

Michael is 33 and Brandon is 21

heureka  May 5, 2017
#1
+20025
+3

Michael is 12 years older than Brandon. Seventeen years ago,

Michael was 4 times as old as Brandon.

How old is Brandon now?

Let m = Michael
Let b = Brandon

$$\begin{array}{|lrcll|} \hline (1) & m &=& b+12 \\\\ (2) & m-17 &=& 4\cdot (b-17) \quad & | \quad m=b+12 \\ & b+12-17 &=& 4\cdot (b-17) \\ & b+5 &=& 4b- 68 \\ & 3b&=& 63 \\ & \mathbf{b} & \mathbf{=} & \mathbf{21} \\\\ (1) & m &=& b+12 \quad & | \quad b=21 \\ & m &=& 21+12 \\ & \mathbf{m} & \mathbf{=} & \mathbf{33} \\ \hline \end{array}$$

Michael is 33 and Brandon is 21

heureka  May 5, 2017
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wow thx so much its clear to me now i just didnt understand the equation process i needed to do (:

BentoBot  May 5, 2017
edited by BentoBot  May 5, 2017
#3
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Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.
How old is Brandon now? can somebody help me through this step by step thank you D:

Brandon is now x years old. Michael is now  x + 12 years old.

Then:

$$M=x+12$$                            now

$$(x-17)\cdot 4=M-17$$         17 years ago .

$$4x-68=(x+12)-17$$     M=x+12

$$3x=68+12-17$$                - x + 68

3x=63                                         / 3

$$x=21$$

$$Brandon \ is \ now \ 21 \ years \ old. \ Michael \ is \ now \ 33 \ years \ old.$$

!

asinus  May 5, 2017
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thanks for all the help guys :P

BentoBot  May 5, 2017