Question

Maggie is four times as old as her cousin Samuel.In five years, she will be six years less less than three times his age.How old is Samuel

Answer 1

1 year old

Explanation:

Maggie- 4x

Samuel- x

In five years;

samuel- 5x

Maggie-15x-6

4x+5=15x-6

11x=11

x=

Answer 2

Let S represent Samuel's current age, and M represent Maggie's current age.

We are given two pieces of information:

1. Maggie is four times as old as her cousin Samuel, so M = 4S.

2. In five years, Maggie will be six years less than three times Samuel's age, which can be written as (M + 5) = 3(S + 5) - 6.

Now, we have a system of two equations:

1. M = 4S
2. M + 5 = 3(S + 5) - 6

We can substitute the value of M from the first equation into the second equation:

4S + 5 = 3(S + 5) - 6

Now, let's solve for S:

4S + 5 = 3S + 15 - 6

Subtract 3S from both sides:

S + 5 = 9 - 6

Subtract 5 from both sides:

S = 3

So, Samuel is 3 years old. Maggie, being four times as old, is 4 x 3 = 12 years old.