SOLUTION: If martin is 8 years older than kris then how old is martin in 10 years when kris is 7 more than fourth of martin age?

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Question 1089955: If martin is 8 years older than kris then how old is martin in 10 years when kris is 7 more than fourth of martin age?
Found 3 solutions by jhunjiro, EMStelley, MathTherapy:
Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!
Find: how old is martin in 10 years
Let:
martin = x
kris = y
-
Given:
is means equal
eq 1: x=y%2B8
-
in 10 yrs means +10
eq 2: y%2B10=%28x%2B10%29%2F4+%2B7
-
Solution
Substitute eq 1 to eq 2
y%2B10=%28%28y%2B8%29%2B10%29%2F4+%2B7
4%28y%2B10%29=4%28%28y%2B8%29%2B10%2F4+%2B7%29
4y%2B40=%28%28y%2B8%29%2B10%29+%2B28
4y%2B40=%28y%2B18%29+%2B28
4y%2B40=y%2B46
3y%2B40=46
3y=6
y=2age of kris
x=2%2B8
x=10 age of martin
x=10%2B10
x=20 age of martin in 10 years!


Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start by naming variables that represent age.
Let M = Martin's age.
Let K = Kris' age.
Martin being 8 years older than Kris can be represented with addition.
M+=+8+%2B+K
The question is "How old is Martin in 10 years when Kris is 7 more than fourth of Martin's age?" This needs to be broken down for better understandably. First, how old is Martin in 10 years? Well, we won't know that until we know how old Martin is now. So we need to use the rest of that sentence to help us. "Kris is 7 more (addition) than fourth (multiplication/division) of Martin's age?" So,
K+=+7+%2B+%281%2F4%29%2AM
Our first formula has an expression for M, (8 + K), so we can replace the M in our second formula with this expression to help solve.
K+=+7+%2B+%281%2F4%29%2A%288+%2B+K%29
Simplifying the right hand side, we get
K+=+7+%2B+2+%2B+%281%2F4%29%2AK+=+9+%2B+%281%2F4%29%2AK
Subtracting the right hand side K to the left, we have
%283%2F4%29%2AK+=+9
K+=+9%2A%284%2F3%29+=+12
So Kris is 12 years old. How old does this make Martin? Well, we know that M = 8 + K, so if K = 12, then M = 20. Thus, Martin is currently 20 years old. So how old will Martin be in 10 years? 30 years old.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If martin is 8 years older than kris then how old is martin in 10 years when kris is 7 more than fourth of martin age?
If Kris WILL BE 7 more than 1%2F4 Martin's age in 10 years, then Martin is 10 and will be 20 in 10 years' time.
If Kris is CURRENTLY 7 more than 1%2F4 Martin's age, then read on!
Let Martin's age be M
Then Kris' is: M - 8
We then get the following: M+-+8+=+%281%2F4%29M+%2B+7______M+-+8+=+M%2F4+%2B+7
M+-+M%2F4+=+7+%2B+8 ------ Adding 8 to both sides
M+-+M%2F4+=+15
4M - M = 60 ------ Multiplying by LCD, 4
3M = 60
M, or Martin's age: matrix%281%2C3%2C+60%2F3%2C+%22=%22%2C+20%29
Since Martin is 20 years-old, in 10 years' time, he will be: highlight_green%28matrix%281%2C4%2C+%2220+%2B+10%2C%22%2C+or%2C+30%2C+years-old%29%29