Michael is 12 1212 years older than Brandon. Seventeen years ago, Michael was 4 44 times as old as Brandon. How old is Brandon now?

Question

i need answer

Answer 1

Let Micheal's current age be "M" and Brandon's current age be "B".

Then, if Micheal is 12 years older than Brandon,

M=B+12. ---> Equation (1)

17 years ago, Micheal is M-17 years old and Brandon is B-17 years old.

If 17 years ago, Micheal was 4 times old as Brandon, then

M-17=4*(B-17) ---> Equation (2)

Now, we have two equations with two unknowns. Let's solve those.

Substitute for M in Equation (2) using Equation (1),

(B+12)-17=4*(B-17)

B - 5 =4*B-68

68-5=4*B-B

63=3*B

63/3=3*B/3

21=B ---> Brandon's age is 21 years.

From, Equation (1),

M=21+12=33 ---> Micheal is 33 years old.