Question 50

Sum and difference of the ages of two children are 33 and 3 respectively. What is the age of the elder child?

Solution

let the ages of 2 children be x,y

sum of their ages = 33

x + y = 33.............(1)

difference of their ages = 3

x - y = 3.............(2)

solving (1) and (2)

x = 18

substitute x= 18 in (1)

18 + y = 33

y = 15

thus age of elder child = 18

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