The sum of three consecutive odd numbers is 57. Find the numbers.

Question

KnowledgeBoat · Accepted Answer

Let the three consecutive odd numbers be (x \- 2), x, (x \+ 2). So, (x \- 2) \+ x \+ (x \+ 2) = 57 ⇒ x \- 2 \+ x \+ x \+ 2 = 57 ⇒ 3x = 57 ⇒ x = ⇒ x = 19 Other numbers = (x \- 2), (x \+ 2) = (19 \- 2), (19 \+ 2) = 17, 21 Hence, the three numbers are 17, 19 and 21.

Mathematics

The sum of three consecutive odd numbers is 57. Find the numbers.

Linear Eqns One Variable

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