Question

Megha wanted to find 3 consecutive odd numbers that add up to 75. She wrote down the equation (x - 2) + x + (x + 2) = 75 and solved it to find the three numbers. Has she framed the equation correctly and why ?

Answer 1

First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.