The average of 9 numbers is 48 while the average of the first 7 number

1.	The average of 9 numbers is 48 while the average of the first 7 numbers is 40. If the ratio of remaining 2 numbers is 3 ∶ 5, find the larger number between the remaining two numbers.1. 552. 573. 904. 95
Answer» Correct Answer - Option 4 : 95 Given: The avg of 7 numbers is 40 while the avg of 9 numbers is 48. The ratio of the remaining 2 numbers is 3 ∶ 5. Concepts used: avg= Sum of all observations/Number of observations Calculation: Sum of 7 observations = 40 × 7 = 280 Sum of 9 observations = 48 × 9 = 432 Sum of remaining 2 observations = Sum of 9 observations – Sum of 7 observations ⇒ 432 – 280 = 152 Let the two numbers be 3x and 5x. According to the question ⇒ 3x + 5x = 152 ⇒ 8x = 152 ⇒ x = 19 Larger number = 5x ⇒ 5 × 19 = 95 ∴ The value of larger number between remaining two numbers is 95.

The average of 9 numbers is 48 while the average of the first 7 numbers is 40. If the ratio of remaining 2 numbers is 3 ∶ 5, find the larger number between the remaining two numbers.1. 552. 573. 904. 95

Answer» Correct Answer - Option 4 : 95

Given:

The avg of 7 numbers is 40 while the avg of 9 numbers is 48.

The ratio of the remaining 2 numbers is 3 ∶ 5.

Concepts used:

avg= Sum of all observations/Number of observations

Calculation:

Sum of 7 observations = 40 × 7 = 280

Sum of 9 observations = 48 × 9 = 432

Sum of remaining 2 observations = Sum of 9 observations – Sum of 7 observations

⇒ 432 – 280 = 152

Let the two numbers be 3x and 5x.

According to the question

⇒ 3x + 5x = 152

⇒ 8x = 152

⇒ x = 19

Larger number = 5x

⇒ 5 × 19 = 95

∴ The value of larger number between remaining two numbers is 95.

Discussion

No Comment Found

Related InterviewSolutions

Out of 10 boys, 4 boys of 1 m 40 cm height, 3 are of 1 m 62 cm height and rest are of 1 m 73 cm height. What is the average height of all boys. 1. 156 cm2. 158 cm3. 156.5 cm 4. 155.5 cm
A man’s average monthly savings is Rs 750 during May, Rs 824 during June and Rs 775 during July. Find the average monthly savings for the three months? 1. 7882. 7903. 7834. 780
The average monthly income of a family of four earning members was Rs.15,130. One of the daughters in the family got married and left home, so the average monthly income of the family came down to Rs.14,660. What is the monthly income of the married daughter?(a) Rs.15,350 (b) Rs.12,000 (c) Rs.16,540 (d) Cannot be determined (e) None of these
There are 7 members in a family which includes two grandparents, two parents, and three siblings. Father’s age is 45 years and Mother’s age is 42. Average age of two siblings is 15 whereas the third sibling’s age is 4 years more than the average age of the three siblings. If the average age of family is 40 years then find average age of grandparents.1. 63 years2. 67 years3. 71 years4. 75 years
Age of Raman is 40% more than his wife, find out the average of Raman and his wife, if age of his wife is 50 years.1. 502. 603. 704. 80
Five girls have an average height of 1 m 67 cm. Two girls of height 1 m 56 cm and 1 m 69 cm leaves the group. Find the new average height of girls. 1. 150 cm2. 160 cm3. 170cm4. 98 cm
Find the average of 125, 200, 325, 625, 225 and 120?1. 2592. 2703. 2904. 258
In a group of 71 people, the difference between the age of the eldest and the youngest person is 35 years. when the average age was taken without considering the eldest person the average was reduced by 3% but when the average was taken without considering the youngest person the average was increased by 2%. Find the original average age of all the people. 1. 12 years2. 11 years3. 14 years4. 10 years
The average age of 6 brothers is 15 years. The age of the youngest brother is 5 years. What was the average age (in years) of the group of brothers at the time of birth of the youngest brother?1. 142. 153. 12.54. 12
The income of Anil in the month of January, February and March is Rs. 15,000, Rs. 25,000 and Rs. 20,000. The average expenses of these month is Rs. 4000. Find the average saving of these months.1. 160002. 360003. 450004. 12000