Question

Find four consecutive even numbers whose sum is 356.

Answer 1

Hint: We will assume the first even number to be x. We also know that the next three even numbers are (x + 2), (x + 4) and (x + 6). We also have got a relation, which is (x) + (x + 2) + (x + 4) + (x + 6) = 356. We can get all the four required numbers by solving this equation.

Complete step-by-step answer:
It is given in the question that the sum of four consecutive even numbers is 356. And we are asked to find out those four consecutive even numbers. So, to solve this question, let us start by assuming the first of the consecutive even number as x. So, we know that the next three consecutive even numbers will be, (x + 2), (x + 4) and (x + 6). Now, we have been given that the sum of the four consecutive numbers is 356, so we get,
(x) + (x + 2) + (x + 4) + (x + 6) = 356
So, 4x + 12 = 356
Now, by transposing 12 from the left hand side or the LHS to the right hand side or RHS, we get,
4x = 344
And on dividing both sides by 4, we will get,
X = 82
Therefore, the first even number x =82, the second even number (x + 2) = 82 + 2 = 84, the third even number (x + 4) = 82 + 4 = 86 and the fourth even number (x + 6) = 82 + 6 = 88.
Thus, the four consecutive even numbers whose sum is equal to 356 are, 82, 84, 86 and 88.

Note: The possible mistakes that students can make while solving this question is that they miss to read the word even, and read as, find the 4 consecutive numbers whose sum is 356. This will give a totally incorrect answer, so it is advisable that the students should read the question thoroughly before solving it.