A Math Riddle, Finally

posted by Sifat
- September 29 2009 10:38:18 AM

The ages of a father and son add up to 66. The father's age is the son's age reversed.

How old could they be? (3 possible solutions)

How old could they be? (3 possible solutions)

Reply by Caprico
- January 04 2011 03:00:11 AM

Answer

[hide]

06 and 60

15 and 51

24 and 42

[/hide]

For everyone else, this is how you solve it.

[hide]

Let father's age be xy ( x and y are digits)

So son's age is yx

Now xy can be written as 10x + y

and yx can be written as 10y + x

[Like 56 can be written as 10(5) + 6]

Adding these two,

11x+11y + 66

x+y = 6

There are 4 integral solutions to this

x=0 y=6

x=1 y=5

x=2 y=4

x=3 y=3

Now father and son both can't be 33, so remaining are my answers. :)[/hide]

[hide]

06 and 60

15 and 51

24 and 42

[/hide]

For everyone else, this is how you solve it.

[hide]

Let father's age be xy ( x and y are digits)

So son's age is yx

Now xy can be written as 10x + y

and yx can be written as 10y + x

[Like 56 can be written as 10(5) + 6]

Adding these two,

11x+11y + 66

x+y = 6

There are 4 integral solutions to this

x=0 y=6

x=1 y=5

x=2 y=4

x=3 y=3

Now father and son both can't be 33, so remaining are my answers. :)[/hide]

Reply by Drakelar
- March 14 2011 12:36:22 AM

It is more like 24 and 42 because usually thre is a 20 year different between father and son

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