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Amal wants to place all the numbers 1 to 10 in the circles in diagram with one number in each circle. She wants the sum of the numbers in any four circles that are in a straight line to be 23 , for example the sum of numbers in four grey circles is 23 . What number must she place in the circle containing the question mark?

Solution

Solution

The number : 23 or - 23

Solution steps

Represent the number with

x

A.T.Q.:

x (x) = 23

Solve for

x, x (x) = 23 : x = 23, x = - 23

The number : 23 or - 23

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