SOLUTION: what is the four digit number in which the first digit is one third the secound,the third is twice the sum of the first and secound and the last is three times the secound

Question 938522: what is the four digit number in which the first digit is one third the secound,the third is twice the sum of the first and secound and the last is three times the secound
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
what is the four digit number
a, b, c, d
:
in which the first digit is one third the second,
a = b
or
b = 3a
:
the third is twice the sum of the first and second
c = 2(a+b)
:
and the last is three times the second
d = 3b
replace b with 3a
d = 2(3a)
d = 6a
6a has to equal to a single digit, cannot be 2 or greater,therefore:
a = 1
and
d = 6(1)
d = 6
then
b = 3a
b = 3(1)
b = 3
and
c = 2(a+b)
c = 2(1+3)
c = 8
and
b = 3(1) = 3
:
the four digit number: 1 3 8 6
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

what is the four digit number in which the first digit is one third the secound,the third is twice the sum of the first and secound and the last is three times the secound

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