Question

The ratio of the present ages of A, B and C is 2 : 3 : 5. If their average age is 30 years, find the difference between the age of the eldest and youngest person.​

Answer 1

Answer :-

Ratio of their ages is 2 : 3 : 5.

Average of their ages is 30 years.

Than,

$\frac{a + b + c}{2} = 30 \\ \\ a + b + c = 60$

Input ratios :

$2x + 3x + 5x = 60 \\ \\ 10x = 60 \\ \\ x = 6 \: years$

Eldest person's age = 5x = 30 years

Youngest person's age = 2x = 12 years

Difference of them = 30 - 12 = 18 years

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Answer 2

Answer:

Difference between the age of eldest and youngest person = 27 yrs

Step-by-step explanation:

Ages of three person in ratio = 2:3:5

Let the ages of three persons a,b and c be 2x,3x and 5x respectively.

Average age = 30 years

2x+3x+5x /3 = 30

10x = 90

X = 9.

a = 2x = 18 yrs -------- youngest

b = 3x = 27 yrs

c = 5x = 45 yrs --------- eldest

Difference between age of eldest and youngest person = c-a

= 45-18

= 27 yrs