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:
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
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
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
\(x=21\)
\(Brandon \ is \ now \ 21 \ years \ old. \ Michael \ is \ now \ 33 \ years \ old.\)
!