SOLUTION: Mr.Karikari is five times as old as Eric.In ten years time Mr Karikari will be thrice as old as Eric.What is their present ages.
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Question 1156131: Mr.Karikari is five times as old as Eric.In ten years time Mr Karikari will be thrice as old as Eric.What is their present ages.
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let e = Eric's present age
let k = K's present age
Write an equation for each statement
:
Mr.Karikari is five times as old as Eric.
k = 5e
In ten years time Mr Karikari will be thrice as old as Eric.
k + 10 = 3(e+10)
distribute the 3
k + 10 = 3e + 30
k = 3e + 30 - 10
k = 3e + 20
replace k with 5e, from the 1st statement
5e = 3e + 20
5e - 3e + 20
2e = 20
e = 20/2
e = 10 yrs is Eric's age
then
5(10) = 50 yrs is K's age
:
:
Confirm solutions in the statement
"In ten years time Mr Karikari will be thrice as old as Eric"
50 + 10 = 3(10+10)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Mr. K's age now
Let = Eric's age now
-----------------------------------
(1)
(2)
-----------------------------------
(2)
(2)
Plug (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
--------------------
Mr. K is 50
Eric is 10
-------------
check:
In 10 yrs Mr. K is 60
In 10 yrs Eric is 20
60 is 3 times 20
OK
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