Find consecutive even numbers such that the sum of the first and the last numbers exceed the second number by .
Step 1: Define even numbers and suppose three consecutive even numbers
About Even Numbers:
Let, the three consecutive even numbers are as follows,
The first number …(i)
The second number …(ii)
The third number …(iii)
Step 2: Form an equation based on the given condition and simplify it for
According to the question,
Step 3: Substitute the value of in equations (i), (ii) and (iii)
So, the first number
the first number
And, the second number
the second number
the second number
Also, the third number
the third number
the third number
Hence, the three required consecutive even numbers are and .