The average of five numbers is 56. If theaverage of first four numbers is 54, what isthe value of the fifth number ?
The average of five numbers is 56. If theaverage of first four numbers is 54, what isthe value of the fifth number ?
The average of five numbers is 56. If theaverage of first four numbers is 54, what isthe value of the fifth number ?
Nithin K ? May 21 '2017 at 16:20
Answer is : 64
Explanation:
Fifth number = 5 × 56 - 4 × 54
= 280 - 216
= 64
Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 years. What is the difference between the Ram’s son’s present age and Ram’s father’s present age ?
Nithin K ? May 21 '2017 at 15:55
Answer is 78 years
Explanation
Present age of Ram’s son = x years
Ram’s present age = 3x years
Ram’s father’s present age = \(3x × \frac{5}{2}\)
\(= \frac{15x}{2}\) years
\(\therefore x + 3x + \frac{15x}{2}= 46 × 3\)
\(=> 23x = 46 × 3 × 2\)
\(\implies x = 12\)
\(\text{Required difference}\)
\(=\frac{15x}{2}- x = \frac{13x}{2}\)
\(= \frac{13 \times 12}{2}= 78 \text{ years}\)
The average age of seven boys sitting in arow facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years,what is the age of the boy who is sitting in middle of the row ?
Nithin K ? May 21 '2017 at 12:17
Answer is : 29 years
Explanation
Age of the fourth boy = \((26 \times 7 - 3 \times 19 - 3 \times 32) \)years
= \((182 - 57 - 96) \)years
= \(29\) years
The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years.What is the average age of the remaining boys in the class ?
Akilesh Kharvi ? May 20 '2017 at 12:31
Answer is : 15.25 years
Explanation:
Let the required average age be x years.
\(80 × 15 = 15 × 16 + 25 × 14 + 40 × x\)
\(=> 40x =1200 - 240 - 350 = 610\)
\(x = \frac{610}{40}\)
= 15.25 years
The total marks obtained by a student in Physics, Chemistry and Mathematics together is 120 more than the marks obtained by him in Chemistry. What are the average marks obtained by him in Physics and Mathematics together ?
Akilesh Kharvi ? May 20 '2017 at 11:36
Answer is : 60
Explanation:
\(\text{Required average = } \frac{120}{2}= 60\)
The average of 5 numbers is 65. The average of the first two numbers is 81 and the average of the last two numbers is 38. What is the third number ?
Nithin K ? Apr 30 '2017 at 14:42
Answer is 87
Explanation:
The third number = 5 × 65 - 2 × 81 - 2 × 38
= 325 - 162 - 76
= 87
The average age of the family of five members is 24. If the present age of youngest member is 8 years, then what was the average age of the family at the time of the birth of the youngest member ?
Nithin K ? Apr 30 '2017 at 14:20
Answer is 16 years
Explanation:
Total age of 5 member family = 24 × 5 = 120 years
Total age 8 years ago = 120 - 5 × 8 = 80 years
Required average age
= \(\frac{18}{5} = 16 \) years