### 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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