A. 10
B. 46
C. 70
D. 90
Explanation:
Let the numbers be x and (100 – x).
Then, x(100 – x) = 5 * 495
x2 – 100x + 2475 = 0
(x – 55)(x – 45) = 0
x = 55 or 45
The numbers are 45 and 55.
Required difference = 55 – 45 = 10.
Related Mcqs:
- If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?
A. 55/601
B. 601/55
C. 11/120
D. 120/11 - The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
A. 28
B. 32
C. 40
D. 64 - A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :
A. Rs.3100
B. Rs.2700
C. Rs.2200
D. Rs.1800 - The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A. 180
B. 170
C. 190
D. 175 - The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is__________?
A. 4
B. 6
C. 8
D. 12 - The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?
A. 20
B. 30
C. 40
D. None of these - The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
A. 12
B. 48
C. 84
D. 108 - Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is________?
A. 75
B. 81
C. 85
D. 89 - The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?
A. 28
B. 32
C. 40
D. 64 - The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?
A. 279
B. 283
C. 308
D. 318
