1.

The Fourteen Digits Of A Credit Card Are To Be Written In The Boxes Shown Above. If The Sum Of Every Three Consecutive Digits Is 18, Then The Value Of X Is?

Answer»

Let US assume right most two squares are a , b

Then Sum of all the squares = 18 x 4 + a + b .......... (1)

ALSO Sum of the squares before 7 = 18

Sum of the squares between 7, x = 18

and sum of the squares between x , 8 = 18

So Sum of the 14 squares = 18 + 7 + 18 + x + 18 + 8 + a + b...... (2)

EQUATING 1 and 2 we get x = 3.

Let us assume right most two squares are a , b

Then Sum of all the squares = 18 x 4 + a + b .......... (1)

Also Sum of the squares before 7 = 18

Sum of the squares between 7, x = 18

and sum of the squares between x , 8 = 18

So Sum of the 14 squares = 18 + 7 + 18 + x + 18 + 8 + a + b...... (2)

Equating 1 and 2 we get x = 3.



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