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if it is a number between 300 and 400  and if it is even then it would be between


In which case, we've already identified the number in the hundreds place as 3.

the number would be


x being the digit in the tens place and y in the units place


if the sum of the digits is five times the hundred digit then

3+x+y = 5(3)

3+x+y =15

x + y = 15 - 3

x + y = 12

that being x + y = 12, we can have investigation through trial and error

we'll have:


since it is even then we'll base the assumptions in its units digit

if y = 0

x = 12

not correct since we can't have two digits for the tens place

if y = 2

x = 10

not correct with same reason as the first

if y = 4

x = 8

can be since it qualifies to the condition that no digit shall be the same as the other

if y = 6

x = 6

doesn't satisfy the 'I have three different digits' statement

if y = 8

x = 4

can be


so the number can either be

348 or 384

0 0 0
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