**Aptitude and Reasoning**

**Aptitude and Reasoning**

AVERAGES

** AVERAGE** = Sum of values / No. of values

Suppose a man covers a certain distance at X- kmph and an equal distance at Ykmph

then the average speed during the whole journey is = 2XY/X+Y KMPH

**Example Problems:**

1. Four years ago the average of son & father’s age was 27.5. Today the ratio of their age is 5: 16. Find out the son’s present age ?

SOLUTION:

Four years ago age of son + father = 27.5 × 2

= 55 years

Now, their age is = 55+8 = 63 years

Therefore, son present age = 63 × 5/21

= 15 years (answer)

2. The average of four positive integers is 59. The highest integer is 83 & lowest integer is 29. The difference between the remaining two integers is 28. What is the higher of the remain two integers ?

SOLUTION:

Remaining two integers are X & Y

83 + 29 + X + Y = 59×4 …………. (1)

X – Y = 28 …………….. (2)

From equations 1 & 2

X = 76, Y = 43

X = 76 is the higher value (answer)

3. The average age of 6 employees in a department is 34 years. If the age of their officer added, the average increased by 1. What is the age of officer ?

SOLUTION:

Age of officer = 34 + (7 × 1)

= 41 years (answer)

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