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10 grade maths

Express 49 as the sum of 7 odd numbers.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To express 49 as the sum of 7 odd numbers, you can start by recognizing that 49 is an odd number itself. Therefore, you can write it as the sum of seven consecutive odd numbers.

Here's one way to do it:

Start with the central odd number, which is 49 itself.
Now, find three smaller consecutive odd numbers on one side and three smaller consecutive odd numbers on the other side of 49.
For example, you can choose the three smaller odd numbers as 45, 47, and 43 on one side and 51, 53, and 55 on the other side.
Now, let's add them up:

49 (central) + 45 + 47 + 43 + 51 + 53 + 55 = 49

So, 49 can be expressed as the sum of 7 odd numbers: 45, 47, 43, 49, 51, 53, and 55.

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