Question

The ratio between the ages of of father and son5:2.if the difference between their ages is 27.find the age of father and son?

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Answer 1

Answer:

The son is 18 years old and father is 45 years old.

Explanation:

Given :

Ratio between the ages = 5 : 2

Difference between their ages = 27

To find :

The age of father and son

Solution :

Let the ages be -

• Father as 5y
• Son as 2y

$\sf{\longrightarrow} \: 5y - 2y = 27 \\ \\ \sf{\longrightarrow} \: 3y = 27 \\ \\ \sf{\longrightarrow} \: y = \dfrac{27}{3} \\ \\ \sf{\longrightarrow} \: y = 9$

$\rule{300}{1.5}$

★ Father's age -

$\sf{\longrightarrow} \: 5(9) \\ \\ \sf{\longrightarrow} \: 45$

Father's age = 45 years old

$\rule{300}{1.5}$

★ Son's age -

$\sf{\longrightarrow} \: 2(9) \\ \\ \sf{\longrightarrow} \: 18$

Son's age = 18 years old

$\therefore$ The son is 18 years old and father is 45 years old.

Answer 2

Explanation:

Aloha !

Given ,

Ratio 5:2

Let son age be x

Then,

27:x

Now,

5÷2=27÷x+x

Now

5÷2/x=27+x

5x=2(27+x)

5x=54+2x

5x-2x=54

3x=54

x=54/3

x=18

THEREFORE SON AGE IS 18

NOW,

27+x

27+18

=45

Thank you

@ Twilight Astro ✌️☺️