Question

What is the age of a son if the average age of a person and his son is 40 years and their age ratio is 11: 5?

20 years

23 years

25 years

24 years​

Answer 1

Answer:

25

Step-by-step explanation:

Let the son's age is 5x

Father's age is 11x

Average of their ages is 40 years

5x+11x /2 = 40

16x/2 = 40

8x=40

x=5

Son's age = 5x=5(5)=25

PLEASE MARK THIS ANSWER AS THE BRAINLIEST ANSWER

Answer 2

Given

• average age of a person and his son is 40 years

• ratio of their ages is 11 : 5

To find

• Age of son

Solution

$\sf{Let,}\\\\\longmapsto\sf{age\:of\:person=11x}\\\longmapsto\sf{age\:of\:his\:son=5x}\\\\ \sf{then,}\\\\\\\implies\sf{\dfrac{11x+5x}{2}=40}\\\\\\\implies\sf{11x+5x=40\times 2}\\\\\\\implies\sf{16x = 80}\\\\\\\implies\sf{x=\dfrac{80}{16}}\\\\\\\implies\large{\underbrace{\sf{x=5}}}\\\\\\\sf{so,}\\\\\longmapsto\sf{age\:of\:son=5x}\\\\\longmapsto\sf{age\:of\:son=5 (5)}\\\\\longmapsto\underline{\boxed{\sf{age\:of\:son=25\;\;years}}}$

Hence,

Age of son is 25 years .