Question
The average of 30 numbers is 55. The average of the
first 15 numbers is 50 and the average of the last 12 numbers is 55. What is the average of 68, 74 and the remaining 3 numbers?Solution
Sum of all 30 terms = 30 x 55= 1650 Sum of first 15 terms = 15× 50 = 750 Sum of last 12 terms = 12 x 55 = 660 After removing the first 15 and last 12 terms, there will be 3 terms remaining.  Sum of remaining 3 terms = 1650 (750 +660) = 240 According to the question, 68 and 74 are added to the sum of 3 terms. Thus, the number of total terms becomes 5. Average of 5 terms = (240 +68 + 74)/5 382/5= 76.4  76.4 is the average of 68, 74 and the remaining 3 numbers.
A fraction becomes 6/7 when 3 is added to both its numerator and denominator. Similarly, it becomes 7/8 when 5 is added to both i...
Evaluate: 3.25 + 4.08 − 1.6 × 1.5
Evaluate: 3.75 × 0.4 + 7.2 ÷ 0.6
Which fraction bears the same ratio to 1/27 as 3/11 does to 4/9?
The fraction equivalent to 0.474747... is:
A complex fraction evolves into 25/21 when 25% of the numerator is added to the numerator, and simultaneously, 23% of the denominator is subtracted from...
Numerator of a fraction is 4 less than the denominator. If 6 and 7 are added to numerator and denominator of a fraction respectively, then fraction beco...
Evaluate: 0.5 + 0.75 + 0.75
If numerator of a fraction is decreased by 30% and the denominator of the same fraction is increased by 40%, then what fraction of the old is the new fr...
Express 0.045 as a fraction in simplest form.