SOLUTION: john age is a multiple of 7 this year. in 3 years time, his age will be a muiltiple of 5. his age is between 20 and 70, how old will john be in 6 years time?
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Question 1070012: john age is a multiple of 7 this year. in 3 years time, his age will be a muiltiple of 5. his age is between 20 and 70, how old will john be in 6 years time?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
ONE WAY:
The multiples of 7 between 20 and 70 are
21, 28, 35, 42, 49, 56, 63,
(and if it was between 20 and 70 inclusive,
also 70.
35 and 7p are multiples of 5,
and would not be if wee add 3.
The other numbers, with 3 added are
24, 31, 45, 52, 59, and 66.
The only one of those that is s multiple of 5
is , and in years
he will be ,
so John is 42.
A FANCY WAY:
= John's age now,
with being a whole number.
We are told that ,
so --> .
= John's age in
The only way that sum can be a multiple of
is of , and therefore
are multiples off ,
and with <--> ,
the only choice is .
So, and .
In 6 years time, John will be
.
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