SOLUTION: Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon. How old is Michael now? Hi! i tried to and came out with m= b+ 12

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Question 1044042: Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.
How old is Michael now?
Hi! i tried to and came out with
m= b+ 12 m being michael's age and B being Brandon's age
m= 4b + 17
I dont know where else to go with these. they could be wrong
thank you so much for your help!!

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
             NOW        NOW-Described       Seventeen Years Ago

Michael      m           m=b+12             m-17

Brandon      b                              b-17


What does the description say?
m=b%2B12 first sentence.

Second Sentence?
Michael WAS 4 times as old as Brandon.
WHEN? Seventeen years ago.
m-17=4%28b-17%29.

The system of equations is system%28m=b%2B12%2Cm-17=4%28b-17%29%29.

m-17=4b-68
m=4b-68%2B17
m=4b-51
m-4b=-51
-
b%2B12-4b=-51, through substitution from the first equation
-3b=-51-12
3b=51%2B12
b=51%2F3%2B12%2F3
b=17%2B4
highlight%28b=21%29
-
highlight%28m=33%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.
How old is Michael now?
Hi! i tried to and came out with
m= b+ 12 m being michael's age and B being Brandon's age
m= 4b + 17
I dont know where else to go with these. they could be wrong
thank you so much for your help!!
m = b + 12 ----- Correct      m = 4b + 17 ----- Incorrect
b = m - 12 ------- eq (i)
m - 17 = 4(b - 17) ------ eq (ii)
m - 17 = 4(m - 12 - 17) ----- Substituting m - 12 for b in eq (ii)
m - 17 = 4(m - 29)
m - 17 = 4m - 116
m - 4m = - 116 + 17
- 3m = - 99
m, or Michael is: highlight_green%28matrix%281%2C4%2C+%28-+99%29%2F%28-+3%29%2C+or%2C+33%2C+years-old%29%29