Question

The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.


The difference between the squares of two consecutive numbers is 37. Find the numbers.

Answer 1

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Solution 1. Question

If the sum of two numbers is x and their difference is y, then the difference of their squares is xy.

Here x= 75 and y = 20

75 × 20 = 1500
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Solution 2. Question

If the difference between the squares of two consecutive numbers is x, then the numbers are (x-1)/2 and (x+1)/2

(37-1)/2 and (37+1)/2

36/2 and 38/2

Therefore the required answer = 18 and 19.


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Answer 2

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☸ Required Answer is ⬇⬇⬇

Part 1.

✔⭕ If the sum nd difference of two same no. are given then by the direct formula the difference between their squares is product of sum nd difference given.

A.T.Q

➡ Difference of squares = 75×20
= 1500.

Part 2.

⭕✔Given,
The Difference between the square of consecutive numbers = 37

A.T.Q

➡ By Formula,

➡ No. are (37+1)/2 nd (37-1)/2

➡ 38/2 nd 36/2

➡ 19 nd 18

Therefore , The No. are 18,19 .

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