A man is 2 years younger than his wife.Their current ages both are prime numbers. Next year his wife age will be a multiple of 11.And the husband will be the product of two consecutives.
How old are both ?
Soive by trial and error. That means eliminate the combinations that don't work. There are not many to consider.
The wife's age NEXT year can be 99,88,77,66,55,44,33 or 22.
Their ages now are either:
(98,96),(87,85),(76,74),(65,63),(54,52),(43,41),(32,30), or (21,19).
Only one of those combinations is a pair of prime numbers: 43 and 41. The husband is 41 NOW. Next year he will be 42, which is the product of consecutive number 6 and 7.