Question

The sum of two consecutive even numbers is 10. Find both the numbers.

• A. 4, 6
• B. 2, 8
• C. 7, 3
• D. 9, 1

Answer 1

The correct option is A 4, 6

If ‘x’ is a number, then ‘2x’ is an even number.
The consecutive even numbers will be 2x + 2.

Given: Sum of two consecutive even numbers = 10
Therefore, 2x + 2x + 2 = 10
4x + 2 = 10

If x = 1 , $4x+2=4\times 1+2=6$
If x = 2 , $4x+2=4\times 2+2=8+2=10$ (LHS = RHS)

Hence, x = 2 holds good for the equation.
So, the first even number $=2x=2\times 2=4$
And, the second even number = The first number + 2 = 4 + 2 = 6