Question 53

‘B’ is 3 years older than ‘A’ and ‘B’ is also 3 years younger than ‘C’. 3 years hence, the respective ratio between the ages of A and C will be 4 : 5 What is the sum of the present ages of A. B and C ?

Solution

Let the preset ages of A,B,C be a,b,c respectively.

Given that,

b = 3+a

Thus a= b-3

b= c-3

Thus c = b+3

a+3/c+3 = 4/5

b/b+6 =4/5

Thus b= 24

a= 21

c= 27

Thus sum of ages = a+b+c= 21+24+27=72


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