Question

the average age of man and his son is 22 years. the ratio of their is 19:3 respectively. what is the man's age​

Answer 1

(19x+3x)/2=22

19x+3x=44

22x=44

x=2

19x=2×19

man age=38

Answer 2

Answer:

$38$ years

Step-by-step explanation:

Let the age of the man be $19x$ and the age of the son be $3x$.

We have been given that the average of their ages is $22$.  

According to the question, $\frac{19x+3x}{2} =22$

⇒ $19x+3x = 44$

⇒ $22x = 44$

⇒ $x=\frac{44}{22}$

⇒ $x=2$

Therefore, the man's age will be = $19x = 19 \times 2 = 38$ years

The son's age will be = $3x = 3 \times 2 = 6$ years

Hence, the man's age is $38$ years.

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