SOLUTION: The prouduct of 2 digit numbers is 2000 the sum is 90 what are the numbers

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Question 1101026: The prouduct of 2 digit numbers is 2000 the sum is 90 what are the numbers
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The prouduct of 2 digit numbers is 2000 the sum is 90 what are the numbers
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Try pairs of factors of 2000
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1*2000 NG
2*1000 NG
4*500 NG
etc

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If they are 2-digit numbers, factoring gives the answer quickly.
2000=2%2A10%5E3=2%5E4%2A5%5E3
2000=20%2A100 with a 2-digit number and a 3-digit number,
so we need a smallest factor larger than 20 ,
and it can only have 2 and 5 as prime factors.
25 and 40 are the next such smaller factor candidates.
25%2A80=2000 and 40%2A50=2000 , but only 40%2B50=90 works.
The numbers are highlight%2840%29 and highlight%2850%29 .