SOLUTION: wht is the 4 digit number in which the first digit is one-third the second, the third is the sum of the first and second,and the last is 3 times the second

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Question 933046: wht is the 4 digit number in which the first digit is one-third the second, the third is the sum of the first and second,and the last is 3 times the second
Found 2 solutions by KMST, MathTherapy:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
SOLUTION: highlight%281349%29

EXPLANATION:
Let the number be abcd , with
a= the first digit,
b= the second digit,
c= the third digit, and
d= the fourth digit.

The "first digit is one-third the second" translates as
a=b%2F3<--->b=3a .
The "third is the sum of the first and second" translates as
c=a%2Bb , so system%28c=a%2Bb%2Cb=3a%29--->c=a%2B3a<--->c=4a .
The "last is 3 times the second" translates as
d=3b , so system%28d=3b%2Cb=3a%29--->d=3%2A%283a%29<--->d=9a .
Since a and d are digits, the only option is system%28a=1%2Cd=9%29 .
Then,
system%28a=1%2Cb=3a%29--->b=3 and system%28a=1%2Cc=4a%29--->c=4 .

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

wht is the 4 digit number in which the first digit is one-third the second, the third is the sum of the first and second,and the last is 3 times the second


Number: highlight_green%281349%29