Brain Teasers
Number Relatives
Fun: (2.21)
Difficulty: (2.25)
Puzzle ID: #8531
Submitted By: lesternoronha1 Corrected By: shenqiang
Submitted By: lesternoronha1 Corrected By: shenqiang
Lester gives his friend Terrance a problem. He has to find 2 three-digit numbers which should satisfy the following conditions:
There are two numbers x and y with x<y which satisfy the following conditions:
a) All the digits of x and y are unique when put together and lie between 1 and 9 both included (in other words, the six digits that make up x and y are six different digits - no repeats).
b) The tens digit of x is 3 times the hundreds digit of x.
c) The ones digit of x is two greater than ones
digit of y.
d) The tens digit of y is one greater than ones digit of y.
e) The tens digit of y is two greater than twice the hundreds digit of y.
f) The hundreds digit of y is one greater than the hundred's digit of x.
Can you help Terrance find the numbers x and y?
There are two numbers x and y with x<y which satisfy the following conditions:
a) All the digits of x and y are unique when put together and lie between 1 and 9 both included (in other words, the six digits that make up x and y are six different digits - no repeats).
b) The tens digit of x is 3 times the hundreds digit of x.
c) The ones digit of x is two greater than ones
digit of y.
d) The tens digit of y is one greater than ones digit of y.
e) The tens digit of y is two greater than twice the hundreds digit of y.
f) The hundreds digit of y is one greater than the hundred's digit of x.
Can you help Terrance find the numbers x and y?
Answer
There are two possible answers. Terrance calculates the numbers to be either: 137 and 265, or 269 and 387.Hide Answer Show Answer
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Comments
There is another possible answer to this teaser: 137 and 265 meet all the criteria.
In the question I had added that there could be another solution. However the editors while editing it removed this statement and in the answer I had also added that 139 and 267 satisfy these conditions
Lester, I took your second answer out, because 267 does not satisfy condition (d). 6 is not one greater than 7.
Sorry Bobbrt, I miscalculated
You're correct, stm8r1.
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