Question

Find two consecutive odd numbers such that the sum of the greater number and five times the
smaller number is 92.

Answer 1

Answer:

15 and 17

Step-by-step explanation:

Let the numbers be x and (x + 2)

B.T.P. (x + 2) + 5x = 92

⇒ x + 2 + 5x = 92

⇒ x + 5x = 92 - 2 = 90

⇒ 6x = 90

⇒ x = 90/6 = 15

∴ the smaller odd number = x = 15

the greater consecutive odd number = x + 2 = 15 + 2 = 17

Answer 2

Answer:

x = 1st odd number

x + 2 = 2nd odd number {odd number increase by 2 each time}

x + 2 + 5x = 92 {sum of greater number and five times smaller is 92}

6x + 2 = 92 {combined like terms}

6x = 90 {subtracted 2 from both sides}

x = 15 {divided both sides by 6}

x + 2 = 17 {substituted 15, in for x, into x + 2}

15 and 17 are the two odd numbers

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