Answer:
The present age of Michael is 33 years .
Step-by-step explanation:
Given as :
Michael is 17 years older than Brandon
And 17 years ago the age of Michael was 4 times as old as Brandon
Now,
Let the age of Michael = M years
And The age of Brandon = B years
So , According to question
M = B + 12 .........A
And ( M - 17 ) = 4 × ( B - 17 )
Or, M - 17 = 4 B - 68
Or, 4 B - M = 68 - 17
or, 4 B - M = 51 ...........B
Solving Eq A and B
I.e 4 B - ( B + 12 )= 51
or, 4 B - B = 51 + 12
or, 3 B = 63
∴ B = [tex]\frac{63}{3}[/tex]
I.e B = 21 years
So, Now the age of Brandon = B = 21 years
Put the value of B in eq A
So, M = B + 12
∴ M = 21 + 12
I.e M = 33 years
So, Now the age of Michael = M = 33 years
Hence The present age of Michael is 33 years . Answer
