Answer:

the smaller is 47 and the larger is 49.

Step-by-step explanation:

turn it into open sentence:

x+2+92=3x

add 2 and 92:

x+94=3x

cancel by subtracting x

94=2x

divide both sides with 2

94/2=47

2x/2=x

47=x

47+2=49

Proof:

47*3=141

141-92=49

Question:"Find two consecutive odd numbers such that the sum of the greater number and 5 times the smaller number is 92"

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