Question
The average of a set of 's' numbers is 15. If 60 is
added to the set, then the average of the set becomes 15.5. Find the value of '4 X (s - 10)'.Solution
Sum of all 's' numbers = 15s
ATQ:
(15s + 60) / (s + 1) = 15.5
Multiplying both sides by (s + 1):
15s + 60 = 15.5(s + 1)
Simplifying:
15s + 60 = 15.5s + 15.5
60 - 15.5 = 15.5s - 15s
44.5 = 0.5s
s = 89
4 X (s - 10):
4 X (89 - 10) = 4 X 79 = 316
Three numbers a, b and c are co-prime to each other such that ab = 88 and bc = 33. Find the value of (a + b + c).
- The sum of the HCF and LCM of two numbers is 340, and the LCM is 16 times the HCF. If one of the numbers is 40, find the other number.
Determine the difference between the LCM and HCF of 18, 24, and 36.
The Highest Common Factor (HCF) and Least Common Multiple (LCM) of two numbers, A and B, are given as 12 and 180, respectively. Additionally, the differ...
The smallest number which when divided by 23 and 28 leaves remainder 11 and 16 respectively is:
The HCF of 450 and 740 is 150, their LCM is:
The HCF of two numbers is 48, and their LCM is 1440. If one of the numbers is 576, find the other number.
Find the least number of four digits which is exactly divisible by 5, 15 and 25?
The least common multiple (LCM) of two numbers is 22 times their highest common factor (HCF). One of the numbers is 132, and the sum of the HCF and LCM ...
If 'x' is the highest common factor (HCF) of 288 and 272, what is the product of the digits of 'x'?
