4.If the sum of four consecutive odd numbers is 56, find the four numbers.
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Given :
- the sum of four consecutive odd numbers is 56
To find :
- the four numbers
Solution :
⇒ Let the consecutive odd numbers be :
- 2x + 1
- 2x + 3
- 2x + 5
- 2x + 7
⇒ Now, let's find.
= (2x + 1) + (2x + 3) + (2x + 5) + (2x + 7) = 56
= 2x + 1 + 2x + 3 + 2x + 5 + 2x + 7 = 56
= (2x + 2x + 2x + 2x) + (1 + 3 + 5 + 7) = 56
= (8x) + (16) = 56
= 8x + 16 = 56
= 8x = 56 - 16
= 8x = 40
= x = 40/8
= x = 5
⇒ Let's find the numbers.
→ 2x + 1
= 2 × 5 + 1
= 10 + 1 = 11
→ 2x + 3
= 2 × 5 + 3
= 10 + 3 = 13
→ 2x + 5
= 2 × 5 + 5
= 10 + 5 = 15
→ 2x + 7
= 2 × 5 + 7
= 10 + 7 = 17
- Therefore, the four numbers are 11, 13, 15, and 17.
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