What is the sum of two consecutive even numbers the difference...

Home / Arithmetic Ability / Problems On Numbers / Question

Examveda

What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?

A. 34

B. 38

C. 42

D. 46

Answer: Option C

Solution(By Examveda Team)

Let the numbers be x and x + 2
Then,
(x + 2)² - x² = 84
⇔ 4x + 4 = 84
⇔ 4x = 80
⇔ x = 20
∴ Required sum
= x + (x + 2)
= 2x + 2
= 42

This Question Belongs to Arithmetic Ability >> Problems On Numbers

Join The Discussion

Related Questions on Problems on Numbers

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A. 35

B. 36

C. 45

D. 54

E. None of these

View Answer

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

A. 9

B. 11

C. 13

D. 15

E. None of these

View Answer

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A. 3

B. 4

C. 9

D. Cannot be determined

E. None of these

View Answer

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

A. 4

B. 8

C. 16

D. None of these

View Answer

More Related Questions on Problems on Numbers