47(a + b) = 5452
? a + b = 5452/47 = 116
? Average value = (a + b)/2
= 116/2
= 58
According to the question,
70m + 91n = 80 (m + n)
⇒ 70m + 91n = 80m + 80n
⇒ 10m = 11n
⇒ n/m = 10/11
Let the 5 consecutive positive integers be x + 1, x + 3, x + 5, x + 7, x + 9
Average = (Sum of all terms) / (Number of terms)
⇒ 9 = [(x + 1) + (x + 3) + (x + 5) + (x + 7) + (x + 9)]/5
⇒ 9 = (5x +25)/5
⇒ 45 = 5x + 25
⇒ 5x = 45 - 25
∴ 5x = 20 ⇒ x = 4
The least one is x + 1 = 4 + 1 = 5
Sum of 11 numbers = 36 x 11 = 396
Sum of 9 numbers = 34 x 9 = 306
Sum of remaining two numbers =396 - 306 = 90
? The smaller number = (2 x 90)/(2 + 3) = 180/5 = 36
Temperature of (Mon + Tue + Wed) = 37 x 3 = 11°C
Temperature of (Tue + Wed + Thu) = 34 x 3 = 102°C
Temperature of (Mon - Thu) = 111°C - 102°C = 9°C
Temperature of [Mon - 4/5(Mon] = 9
Temperature of Monday = 9 x 5 = 45°C
? Temperature of Thursday = 45 x 4/5 = 36°C
Here, average decreases by 3 months of 3/12 yr.
Sum of ages decreased
= 30 x 3/12 = 15/2 = 7.5 yr
? Age of priyanka = (25 - 7.5) = 17.5 yr.
Let The total number of workers = N
According To the question,
60N = 12 x 400 + 56 (N - 12)
? 60N - 56N = 4800 - 672
? 4N = 4128
? N = 1032
Here, n1 = 5, n2 = 10, n3 = 15, a1 = 25, a2 = 50, a3 = 35
According to the formula,
Average price = (n1a1 + n2a2 + n3a3) / (n1 + n2 + n3)
= (5 x 25 + 10 x 50 + 15 x 35) / (5 + 10 + 15)
= (25 + 100 + 105) / (1 + 2 + 3)
= 230/6
= ? 38.33
Given that, number of boys (n1) = 15
Numbers of girls (n2)= 10
Average weight of boys and girls = 38.4 kg
Average of boys = 40 kg
Let average of girls be a2
By formula, average = (na1 + n2 a2) / (n1 + n2)
? 38.4 = (15(40) + 10 x a2)/(15 + 10)
? 38.4 x 25 = 600+ 10a2
? a2= (960 - 600)/10 = 360/10 = 36 kg
Here n = 120, a = 35, x = 39, y = 15
Number of students passed = n (a - y)/(x - y)
= 120(35 - 15)/(39 -15)
= 100 students passed
If two equal distance are covered at different speeds at A km/h and B km/h respectively, then
Average speed during the whole journey = 2AB/(A + B) km/h
? Average speed of the car = (2 x 42 x 48) / (42 + 48)
= (2 x 42 x 48)/90
= 44.8 km/h
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.