Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - General Questions (Q.No. 15)
15.
What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Answer: Option
Explanation:
Let the numbers be x and x + 2.
Then, (x + 2)2 - x2 = 84
4x + 4 = 84
4x = 80
x = 20.
The required sum = x + (x + 2) = 2x + 2 = 42.
Discussion:
21 comments Page 3 of 3.
Pratheep MSAJCE IT said:
1 decade ago
The difference of the squares of the number is 84
So (a^2)-(b^2)=84
then (a+b)(a-b)=84
(a-b)=2[it is difference between consecutive even no]
then (a+b)*(2)=84
A+B=42
So (a^2)-(b^2)=84
then (a+b)(a-b)=84
(a-b)=2[it is difference between consecutive even no]
then (a+b)*(2)=84
A+B=42
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