find the three consecutive odd integer such that the sum of the first number two less than the second number and three more than the third number is 70
Answers
Answer:
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Step-by-step explanation:
Three consecutive odd integer so let's consider the following terms:
Let the first variable be x
let the second variable be x + 2
third variable ( x + 2) + 2 = x + 4
So sum of first less than second and three more than third so we will apply following methods
=> x + (x + 2 - 2 ) two less
=> + ( x + 4 + 3 ) three more than third
So bringing the equation together
=> x + ( x + 2 - 2 ) + ( x + 4 + 3) = 70
=> x + x + x + 4 + 3 = 70
=> 3x + 7 = 70
=> 3x = 63
=> x = 21
=> x = 21 first odd integer
=> x + 2 = 21 + 2 = 23 second odd integer
=> x + 4 = 21 + 4 = 25 third odd integer
Answer:
13
Step by Step explanations are given in the images above holding x as a common variable in this case.