Answer:
Father=36 years old
Step-by-step explanation:
5 people 4 children and a father
average age=12
add the ages
3+5+6+10=24
24+12=36
check the work
36 +24=60
60/5=12
answer=36
Answer:
36 years old
Step-by-step explanation:
The average age of father and four children can be expressed in mathematics as:
[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]
The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:
[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]
Determine or let the following be:
It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]
From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.
First, multiply 5 both sides to get rid of denominator.
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]
Evaluate 3+5+6+10 which equals 24.
[tex]\displaystyle \large{f+24=60}[/tex]
Next, subtract both sides by 24 to isolate f-term.
[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]
Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!
If you have any doubts, please let me know in the comment!
