Question

Name two consecutive odd integers whose sum is 20

Answer 1

Answer:

x = 1st odd integer

x + 2 = 2nd odd integer

x + x + 2 = 20 {the sum of the two is 20}

2x + 2 = 20 {combined like terms}

2x = 18 {subtracted 2 from both sides}

x = 9 {divided both sides by 2}

x + 2 = 11 {substituted 9, in for x, into x + 2}

9 and 11 are the two consecutive odd integers

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Answer 2

let the numbers be x and x+2

x+(x+2)=20

x+x+2=20

2x+2=20

2x=20-2

2x=18

x=18/2

x=9

therefore the numbers are 9 and 11.