Question

Arrange the numbers from 4 to 9 in the magical triangle such that the sum of numbers along each side is 21.

Answer 1

Answer:

Ans 7

Step-by-step explanation:

4+9=13 each triangle

Answer 2

The numbers arranged in a magic triangle as -

A D B = 7 +6 +9 = 21

B E C = 8 + 4 + 9 = 21

A F C = 7 + 5 + 9 = 21

GIVEN

Numbers = 4, 5, 6, 7, 8, 9

Magical triangle

TO FIND

Arranging numbers such that the addition of each side is 21.

SOLUTION.

We can simply solve the given problem as under.

Let us name the 3 apices of the magical triangle as A, B, and C.

Now,

Put the Highest three digits on the 3 apices.

Let,

A = 7

B = 8

C = 9

Now,

Let

point Between AB be D

point Between BC be E

point Between CA be F

Now

We have to add numbers in the points D, E, and F respectively such that the numbers alongside = 21

so,

A + D + B = 21

7 + D + 8 = 21

D = 21- 15 = 6

Hence, D = 6

SIMILARLY,

B + E + C = 21

8 + E + 9 = 21

E 21-17 = 4

Hence, E = 4

Similarly,

A + F + C = 21

7 + F + 9 = 21

F = 21-16 = 5

Therefore,

The numbers arranged in a magic triangle as -

A D B = 7 +6 +9 = 21

E C = 8 + 4 + 9 = 21

A F C = 7 + 5 + 9 = 21

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