Father age riddle
Jacob have three children.
The youngest is the same age as the first digit in Jacob age, another is the same age as the second digit in Jacob age, and the third is the same age as the sum of the two digits in Jacob age.
The total of their ages is 33.
How old is Jacob ?
Jacob is 23, the children are aged 2, 3 and 5.
Deduction:
Let the ages of Jacob and children be A, B, C and D. Also, let the first and second digits of Jacob’s age be X and Y.
So, we have:
A = 10X + Y (1)
B = X (2)
C = Y (3)
D = X + Y (4)
Since the sum of the ages is 33, we have
A + B + C + D = 33 => (10X + Y) + X + Y + (X + Y) = 33
=> 12X + 3Y = 33 (5)
Dividing by 3, we get
4X + Y = 11 (6)
The above equation states 11 as the sum of a multiple of 4 and another number.
The only multiples of 4 that are less than 11 are 4 and 8.
i.e, 4X = 4 OR 4X = 8 => X = 1 OR X = 2.
X= 1 is impossible because, in that case, to satisfy (6), Y must be 7, which would mean that a 17-yr old Jacob has an 8 Yr-old child, which is impossible.
Hence: X = 2, Y = 3.
Your Answer
More puzzles to try-
Fair soccer championship
The games played in the soccer world championship form a binary tree, where only the winner of each game moves ...Read More »Magic Letter
It is a letter; It is made of four V’s. One on the left, One on the right, one on ...Read More »Wrong Dictionary riddle
What is the only word that is spelled wrong in the dictionary ?Read More »How did they get the barley from one sack to the other without pouring the grain somewhere else?
Poor farmer went to the farmers market to sell his corn. He had only one sack so he put barley ...Read More »Lateral thinking sequence Puzzle
Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »What is the next two rows of numbers?
The below is a number puzzle. It should be read left to right, top to bottom. 1 1 1 2 ...Read More »Whats Next?
Fill in the next line: 9 7 5 9 4 9 6 3 4 5 3 6 1 8 2 ...Read More »Who plays in which position?
Bill, Ken, and Mark are, not necessarily in this order, a quarterback, a receiver, and a kicker. The kicker, who ...Read More »How could she recognize them?
A girl died and her soul was received in heaven. She was astonished to find uncountable naked people who looked ...Read More »Sweet Potato riddle
A mother has four children and two sweet potatoes. How can she feed each an equal amount of sweet potatoes? ...Read More »Look at lines A and B. Which one is bigger?
Look at lines A and B. Which one is bigger? Read More »Fill the Tank
Which tank will fill first?Read More »Falls without hurt
What falls often but never gets hurt ?Read More »Sixth kid’s name
A mother gave birth to six kids. The first daughter’s name is January. The second daughter’s name is February. The ...Read More »Position in the Car Race Puzzle
Okay before we begin with the puzzle, remember that you have to answer it quickly. You are participating in a ...Read More »How did the man win the bet?
A boy at a carnival went to a booth ran by a man who said “If I can write your ...Read More »Find how much younger is the new member ?
The average age of 10 members of a committee is the same as it was 4 years ago, because an ...Read More »Murder or Suicide Puzzle
Jacob jumped off the top of building a suicide attempt not knowing that a safety net is already there near ...Read More »shortest path riddle
A 12 by 25 by 36 inch box is lying on the floor on one of its 25 by 36 ...Read More »Married many but has no wife riddle
He has married many but has never been married. Who is he?Read More »