?
A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?
Answer & Solution
Correct Answer:
Option
C
Let x, x + 2, x + 4 and x + 6 represent numbers A, B, C and D respectively.
Then,
$$\eqalign{ & \Rightarrow \frac{{x + \left( {x + 2} \right) + \left( {x + 4} \right) + \left( {x + 6} \right)}}{4} = 65 \cr & \Rightarrow 4x + 12 = 260 \cr & \Rightarrow 4x = 248 \cr & \Rightarrow x = 62 \cr} $$
So, A = 62, B = 64, C = 66, D = 68
∴ A × D = 62 × 68 = 4216
Then,
$$\eqalign{ & \Rightarrow \frac{{x + \left( {x + 2} \right) + \left( {x + 4} \right) + \left( {x + 6} \right)}}{4} = 65 \cr & \Rightarrow 4x + 12 = 260 \cr & \Rightarrow 4x = 248 \cr & \Rightarrow x = 62 \cr} $$
So, A = 62, B = 64, C = 66, D = 68
∴ A × D = 62 × 68 = 4216
Join the Discussion
Login to post a comment or share your explanation.
Login