he ratio of two numbers is 5 : 8 and the difference between their squares is 351. What is the sum of the numbers? Ops: A. 39 B. 48 C. 45 D. 43
Question
he ratio of two numbers is 5 : 8 and the difference between their squares is 351. What is the sum of the numbers?
Ops:
A. 39
B. 48
C. 45
D. 43
Solution
Let's denote the two numbers as 5x and 8x, where x is a common multiplier.
According to the problem, the difference between their squares is 351. So, we can write the equation as follows:
(8x)^2 - (5x)^2 = 351
64x^2 - 25x^2 = 351
39x^2 = 351
Solving for x, we get:
x^2 = 351 / 39
x^2 = 9
So, x = 3
Therefore, the two numbers are 5x = 53 = 15 and 8x = 83 = 24
The sum of the two numbers is 15 + 24 = 39
So, the answer is A. 39.
Similar Questions
If the difference of squares of two consecutive numbers is 93, then determine the smaller number. Ops: A. 48 B. 45 C. 46 D. 47
The difference of two numbers is 2,272 and their sum is 9,414. What is smaller of the two numbers?
If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be?Options :7211435
If the three numbers in the ratio 3 : 2 : 5 be such that the sum of the squares is equal to 1862 then which number is the middle one.Options16131514
Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?A. 28 B. 40C. 64 D. 42
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.