A Lady, Student & Cricket

Probability Level 3

A student and a lady are travelling in a train. They get around talking and lady decides to give a puzzle to the student. She tells him that she has 3 children whose product of ages is equal to the maximum number of runs possible to score in an over. Also the sum of their ages is equal to her berth number. However the student isn’t able to answer. The lady then gives a further hint that the eldest of her children has only one eye, At this information the student knows the ages of all three children. Can you guess the berth number ?


The answer is 13.

Gaurish Korpal by Gaurish Korpal , 25, India

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1 solution

Gaurish Korpal
Mar 26, 2014

List all possible 3 factors of 36(=6x6) [max. of 6 sixes in an over]such that two of these have same sum (as not able to decide) 1,6,6, & 2,2,9 So birth number is 13 & Children are aged 2,2,9 (as one is eldest).

2 Helpful 0 Interesting 0 Brilliant 0 Confused

with the given inputs, there are more than one answer, and 'eldest' doesn't mean the younger ones are of same age.

Aby Mathews - 7 years, 2 months ago

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As per the first two conditions that she has three children and product of their ages is 36 the probable ages are: (1,1,36),(1,2,18),(1,3,12),(1,4,9),(1,6,6),(2,3,6),(3,3,4),(2,2,9)

The student know her birth number but still he is not able to answer , that means that sum must be same for two pairs, this reduces the chances to two: (2,2,9),(1,6,6)

From third option, we get a constraint that, there is only one elder child. And we get correct answer of (2,2,9)

Thus sum of ages is 13.

Gaurish Korpal - 7 years, 2 months ago

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Beautiful!

Siddharth Gupta - 7 years, 2 months ago

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@Siddharth Gupta – Thanks

Gaurish Korpal - 7 years, 2 months ago

CREDULOUS answer to an INCREDIBLE question

Mayank Holmes - 7 years, 2 months ago

How does the info eldest has 1 eye useful

Ashutosh Sharma - 7 years, 1 month ago

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as a distraction for the solver

daniel chadwick - 6 years, 12 months ago

No, it is not for distraction. This info tells that out of the 3 children, only one is the eldest. To eliminate the case of 6,6,1

Archit Boobna - 6 years, 8 months ago

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but sum of both 2,2,9 and 6,6,1 is 13. also it is mentioned eldest not elder so eldest will be one age

Rajdeep Dhingra - 6 years, 8 months ago

Even Google doesn't reveal the maximum number of runs possible to score in an over.

Guiseppi Butel - 6 years, 11 months ago

how does having one eye help the child?. Why not 4,3,3 ?

gayatree anand - 7 years, 2 months ago

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As per the first two conditions that she has three children and product of their ages is 36 the probable ages are: (1,1,36),(1,2,18),(1,3,12),(1,4,9),(1,6,6),(2,3,6),(3,3,4),(2,2,9)

The student know her birth number but still he is not able to answer , that means that sum must be same for two pairs, this reduces the chances to two: (2,2,9),(1,6,6)

From third option, we get a constraint that, there is only one elder child. And we get correct answer of (2,2,9)

Thus sum of ages is 13.

Gaurish Korpal - 7 years, 2 months ago

I think one 'eye' means one 'i' and the number nine has one 'i'.

Kevin Warnakulasuriya - 7 years, 2 months ago

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It's noting like that !

Gaurish Korpal - 7 years, 2 months ago

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