SOLUTION: If Mr Jones was 4 times as as old as his dater 5 years ago. how old is Mr Jones If the sum of there age is 55 years

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Question 1166386: If Mr Jones was 4 times as as old as his dater 5 years ago. how old is Mr Jones If the sum of there age is 55 years
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
j = Mr. Jones
d = his daughter
:
If Mr Jones was 4 times as as old as his daughter 5 years ago.
j - 5 = 4(d - 5)
j - 5 = 4d - 20
j = 4d - 20 + 5
j = 4d - 15
how old is Mr. Jones If the sum of there age is 55 years
j + d = 55
d = (55-j)
:
j = 4(55-j) - 15
j = 220 - 5j - 15
j + 5j = 220 - 15
5j = 205
j = 205/5
j = 41 yrs is Mr. Jones age
:
:
Check:
d = 55 - 41
d = 14 is daughter's age
"If Mr. Jones was 4 times as as old as his daughter 5 years ago."
41 - 5 = 4(14-5)
36 = 4(9)



:

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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If Mr Jones was 4 times as as old as his daUGHter 5 years ago. how old is Mr Jones If the sum of there age is 55 years?
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j, Mr. Jones
d, his daughter

system%28k=4%2Cp-5%2Ct=55%29

First sentence, j-p=k%28d-p%29
Second sentence, j%2Bd=t

Question asks for j.
j-p=k%28t-j-p%29
j-p=kt-kj-kp
j%2Bkj-p=kt-kp
j%281%2Bk%29=p%2Bkt-kp
highlight%28j=%28p%2Bkt-kp%29%2F%28k%2B1%29%29


j=%285%2B4%2A55-4%2A5%29%2F%284%2B1%29

highlight%28j=41%29