Q. 3 A5.0( 1 Vote )
Take nine numbers forming a square in a calendar and mark the four numbers at the corners.
Multiply the diagonal pairs and find the difference of these products.
3 × 19 = 57
17 × 5 = 85
85 – 57 = 28
Do this for other such squares.
Answer :
let the other numbers be
Multiply the diagonal pairs
6x22 = 132
20x8 = 160
Difference of these products
160-132
= 28
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PREVIOUSTake nine numbers forming a square in a calendar and mark the four numbers at the corners.Add the squares of diagonal pairs and find the difference of the sums.32 + 192 = 370172 + 52 = 314370 – 314 = 56Explain using algebra, why the difference is always 56. (it is convenient to take the number at the centre of the squares as x – see the section, Another trick of the lesson, Unchanging Relation of the Class 7 textbook)NEXTTake nine numbers forming a square in a calendar and mark the four numbers at the corners.Multiply the diagonal pairs and find the difference of these products.3 × 19 = 5717 × 5 = 8585 – 57 = 28Do this for other such squares.
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