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**+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

#1**+3 **

Best Answer

**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

#3**+1 **

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