Problems on Ages Questions

• Digit-reversed ages with a ratio condition: Mr. Manoj’s age is a two-digit number with digits (a, b). Reversing the digits gives his wife’s age. One-eleventh of the sum of their present ages equals the difference of their ages. If Manoj is older, find the age difference.
• Father thrice son after 5 years; seven times 5 years ago: After five years the father will be three times the son’s age, and five years ago he was seven times the son’s age. Find the father’s current age.
• Father 4× son now; 7× five years ago (Arvind): Arvind’s father is four times Arvind’s current age. Five years ago, the father was seven times Arvind’s age then. Find the father’s present age.
• Two-person age gap and a past double: The age difference between two persons is 10 years. Fifteen years ago, the elder was twice the younger. What is the elder’s present age?
• Mother–daughter sum and a past 7× relation: The sum of a mother’s and daughter’s present ages is 50 years. Five years ago, the mother was 7 times the daughter’s age. Find their present ages (mother, daughter).
• Ratio now and gap given: Mona and her mother: Mona : mother = 5 : 15 now (i.e., 1 : 3). Their age difference is 24 years. What will be the ratio of their ages after 3 years?
• Father three times son; sum after 10 years is 76: Shyam is 3 times as old as his son now. In 10 years, their ages will sum to 76. Find their present ages (father, son).
• Grandfather–grandson relation via division: If (Randheer’s present age − 6) divided by 18 gives his grandson Anup’s present age. Anup is 2 years younger than Mahesh, whose age is 5 years. Find Randheer’s age.
• Sum now and product 5 years ago: The sum of father and son’s present ages is 45. Five years ago, the product of their ages equalled four times the father’s age at that time. Find their present ages (father, son).
• Father equals triple of two children; equals sum after 20 years: A father’s current age equals three times the sum of his two children’s ages. In 20 years, his age will equal the sum of their ages then. Find the father’s present age.
• Average-based relations among A, B, C: C is twice the average of A, B, C; A is half the average; B = 5 years. What is the average age of A, B, C?
• Two-timepoint constraints for mother and daughter: Two years ago, a mother was four times her daughter’s age. Eight years from now, the mother will be 12 years older than her daughter. What is the ratio of their present ages (mother : daughter)?
• Past total and current ratio: Five years ago, the sum of father and son’s ages was 60. Currently, their age ratio is 4 : 1. What is the father’s present age?
• Mean-of-extremes age relation: A is as much younger than B as he is older than C (i.e., B − A = A − C). If B + C = 40, find A’s present age.
• A classic age riddle with a time-shift: A says to B: “I am twice as old as you were when I was as old as you are.” The sum of their present ages is 63. Find the difference in their ages.
• Age-word problem — two conditions given: 15 years from now, A will be exactly twice as old as B. Five years ago, however, A was four times as old as B. Based on these two constraints, determine the difference between their present ages (A − B).
• Ages — father, mother and son ratios with a future ratio condition: Present son:father = 1:5 and mother:father = 4:5. After 2 years, son:mother becomes 3:10. Find the present age of the father.
• Ages — product and linear relation: The product of Harish’s and Seema’s present ages is 240. Also, twice Seema’s age exceeds Harish’s age by 4 years. Find Seema’s present age in years.
• Ages — three-person system of linear equations: If P and R are added to twice Q we get 59. If Q and R are added to thrice P we get 68. If P is added to thrice Q and thrice R we get 108. Find the present age of P.
• Ages — present father’s age from two-time ratio conditions: After 6 years, Pradhan’s age will be 3/7 of his father’s age; 10 years ago the ratio Pradhan:father was 1:5. Find the father’s present age.