SOLUTION: mr henry is 2 more than 5 times his sons age. 4 years ago mr h was 11 times his sons age then in how many years will mr h be 3 times his sons age then

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Question 1152105: mr henry is 2 more than 5 times his sons age. 4 years ago mr h was 11 times his sons age then
in how many years will mr h be 3 times his sons age then
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28h=2%2B5k%2Ch-4=11%28k-4%29%29
-

%282%2B5k%29-4=11k-44
5k-2=11k-44
44-2=6k
6k=42
highlight_green%28k=7%29
.
highlight_green%28h=37%29


How many years, x:
h%2Bx=3%28k%2Bx%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let mr henry's age be x and his son's age y
if mr henry is 2 more than 5 times his sons age, we have
x=5y%2B2......eq.1

if 4+years ago mr h was 11 times his sons age, we have
x-4=11%28y-4%29.......eq.2
substitute x from eq.1 in eq.2
5y%2B2-4=11%28y-4%29.......eq.2
5y-2=11y-44
44-2=11y-5y
42=6y
y=7=> his son's age now

x=5%2A7%2B2......eq.1
x=37=>Mr Henry's age now
then in how many years (let it be t) will Mr Henry be 3 times his sons age then
x%2Bt=3%28y%2Bt%29.....plug in current ages
37%2Bt=3%287%2Bt%29
37%2Bt=21%2B3t
37-21=3t-t
16=2t
t=8
in 8 from now Mr Henry will be 3 times his sons age
check it:
x=37=>Mr Henry's age now,in 8 from now Mr Henry will be 45
y=7=> his son's age now,in 8 from now his son will be 15
45=3%2A15
45=45