The product of two consecutive even numbers is 624. What is the sum of the two numbers?
Given:
Product of two consecutive even numbers = 624
Solution:
Let the two consecutive even numbers be represented algebraically.
x × (x + 2) = 624
x × (x + 26) - 24 × (x + 26) = 0
(x - 24) × (x + 26) = 0
Taking the positive root since they are typical natural even numbers:
x = 24
The two numbers are 24 and 26.
Calculate the sum of the numbers:
24 + 26 = 50
Final Answer
So the correct answer is (d)
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Suggested Test Series
Suggested Test Series
The product of two consecutive positive multiples of 5 is 750. What is the smaller of the two numbers?
The product of two consecutive even numbers is 624. What is the sum of the two numbers?
If then how many positive factors does N have ?
When is written in decimal notation, then the sum of digits will be
The sum of the squares of two positive integers is 1025 and difference of their squares is 225 . The difference of the numbers is what percent of the product of these numbers ?
The sum of five consecutive multiples of 8 is 560. The smallest multiple is
A two-digit number is 4 times the sum of its digits and twice the product of the digits. The number is:
The product of the predecessor of 201 and the successor of 4781 is:
