FIND THE NUMBER

X + 2 = A

X + 11 = B

X + 18 = C

X + 23 = D

A, B, C and D are all made up of different digits.

FIND X

SOLUTION

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SOLUTIONS

X = 7 or 17.

In fact, with X = 7 we have that:

A = 7 + 2 = 9

B = 7 + 11 = 18

C = 7 + 18 = 25

D = 7 + 23 = 30

We see that 9, 18, 25 and 30 are all numbers made up of different digits.

Similarly, with X = 17, we have that:

A = 17 + 2 = 19

B = 17 + 11 = 28

C = 17 + 18 = 35

D = 17 + 23 = 40

We see that 19, 28, 35 and 40 are all numbers made up of different digits.

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