171k views
1 vote
Michael is

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

2 Answers

3 votes

Answer:

21

Explanation:

bc khan

User Harinsa
by
8.0k points
4 votes

Answer:

The present age of Michael is 33 years .

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 =
(63)/(3)

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

User Kaloyan Dimitrov
by
7.2k points