# Problems on Ages- Aptitude Questions and Answers

 10 years ago, the average age of a family of 5 members was 25 years. In the last 10 years 2 children were born in the family. The family now has 7 members. If the present average age of the family is 27 years, then what is the age of the elder child if it is known that the elder child is 4 years older to the younger one? A) 7 years B) 18 years C) 9 years D) Can’t be determined Correct Answer : 9 years Explanation :Total age of 5 members, 10 years ago = (25 * 5) years = 125 years Total age of 5 members now = (125 + 10 * 5) years = 175 years Total age of 7 members now = (27 * 7) years = 189 years Sum of the ages of 2 children = (189 - 175) years = 14 years Let the age of the younger child be x years. Then, age of the elder child = (x + 4) years So, x + x + 4 = 14 <=> 2x = 10 <=> x=5 Hence, Age of younger child = 5 years, And age of the elder child = (x + 4) years=>(5 + 4) years=>9 years Post/View Answer Post comment Cancel Thanks for your comment.! Write a comment(Click here) ...