Question

put the numbers 11, 12, 13, 14, 15, 16 and 17 in the circles so that addition of three numbers in a straight line gives the same total.​

Answer 1

11 + 12 + 17 = 40 , 11 + 13 + 16 = 40 & 11 + 14 + 15 = 40  and Another Solution also Possible

Step-by-step explanation:

Multiple Solution Possible :

There are Three lines in Total

one number Will be repeated thrice

Sum of all the numbers

= 11 + 12 + 13 + 14 + 15 + 16 + 17

= 98

Now Depending upon which number is in center

So Sum of 3 lines can be

98 + 2 * 11  = 120

Sum of Each Line = 120/3 = 40

11 + 12 + 17 = 40

11 + 13 + 16 = 40

11 + 14 + 15 = 40

98 + 2 * 12 = 122 not Divisible by 3

98 + 2 * 13 = 124  not Divisible by 3

98 + 2 * 14  = 126

Sum of Each Line = 126/3 = 42

14 + 11 + 17 = 42

14 + 12 + 16 = 42

14 + 14 + 15 = 42

98 + 2 * 15 = 128 not Divisible by 3

98 + 2 * 16 = 130  not Divisible by 3

98 + 2 * 17  = 132

Sum of Each Line = 132/3 = 44

17 + 11 + 16 = 44

17 + 12 + 15 = 44

17 + 13 + 14 = 44

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