Question discussion

Sum of four consecutive odd numbers is 208. Find the largest number.

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Let the consecutive odd numbers be x, x + 2, x + 4, x + 6

According to the question,

x + x + 2 + x + 4 + x + 6 = 208

⇒ 4x + 12 = 208

⇒ 4x = 208 – 12

⇒ 4x = 196

⇒ x = 196/4 = 49

∴ The largest odd number is x + 6 = 49 + 6 = 55