Question

RELAY QUESTION 3

I saw a 4 digit number the other day
but I can't remember it...but
1) I remember seeing a number 1.
2) The 2nd digit, I remember is 3-times
the 1st digit.
3) The 4th digit is 4 times the 3rd digit
4) Finally, I recall the number 2 is sitting
in the thousands' place.
What was the number?

Answer 1

the number has 4 digits : abcd

the thousands place is a = 2

there is a 1 in one of the other places.

the second digit must be b.

b = 3a = 3×2 = 6

the fourth digit (d) is 4 times the third (c).

that means it cannot be the 1, as 1 is not 4 times any other digit.

and that means 1 has to be the third digit

c = 1

and then

d = 4c = 4×1 = 4

so, the number is

2614