Question

Six years ago, the average age of 5 members of a family was 39 years. Two years ago, a baby was ban in the be the average age of the family at present? 37 5/6 years 45years 42years 50 36 1/6 years ​

Answer 1

Answer:

The average age of the family at present is 37 (5/6) years.

Step-by-step explanation:

Given,Six years ago, the average age of 5 members of a family was 39 years.

So, before six years sum of age of all members was $(39 \times 5) = 195 \: years$

and it is also given that before two years ,a baby was born.

So,total number of members $= (5 + 1) = 6$

and total sum of age of all members of the family

$= 195 + (5 \times 6) + 2 \\ = 195 + 30 + 2 \\ = 227 \: years$

We know, average

$= \frac{total \: sum}{total \: numbers}$

Therefore, required present average age of full family $= \frac{227}{6} = 37\frac{5}{6} \: years$

This is a problem of average.

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Answer 2

$\displaystyle \sf The \: average \: age \: of \: the \: family \: at \: present = 37 \frac{5}{6} \: years$

Given :

• Six years ago, the average age of 5 members of a family was 39 years.

• Two years ago, a baby was born

To find :

The average age of the family at present

• $\displaystyle \sf 37 \frac{5}{6} \: \: years$

• $\displaystyle \sf 45 \: \: years$

• $\displaystyle \sf 42 \: \: years$

• $\displaystyle \sf 50 \: \: years$

• $\displaystyle \sf 36 \frac{1}{6} \: \: years$

Solution :

Step 1 of 2 :

Calculate sum of ages of all members of the family at present

Six years ago, the average age of 5 members of the family was 39 years

∴ The average age of 5 members of the family at present

= 39 years + 6 years

= 45 years

∴ Sum of ages of 5 members of the family at present

= 45 years × 5

= 225 years

Two years ago, a baby was born

∴ Present age of baby = 2 years

∴ Sum of ages of all members of the family at present

= 225 years + 2 years

= 227 years

Step 2 of 2 :

Calculate average age of the family at present

Sum of ages of all members of the family at present = 227 years

Number of members in the family = 6

∴ The average age of the family at present

$\displaystyle \sf = \frac{227}{6} \: \: years$

$\displaystyle \sf = 37 \frac{5}{6} \: \: years$

Hence the correct option is $\displaystyle \sf 37 \frac{5}{6} \: \: years$

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