Age Word Problem Calculator

This age word problem calculator solves a classic algebra puzzle: given two people's ages right now, in how many years will one person's age be a chosen multiple of the other's? You enter Person A's age now, Person B's age now, and the multiple k you want, so that A becomes k times B. The calculator sets up the equation A + t = k(B + t), where t is the number of years added to both ages, and solves it instantly. It returns the main result showing how far away that moment is, their two ages at that time, and whether the answer falls in the past or the future. A negative t means the relationship already happened that many years ago rather than lying ahead. There is also a check for the special case where the multiple is 1: since two people keep the same age gap forever, one age can equal the other's multiple of 1 only if they are already the same age, so the tool reports "always equal" or "never" instead of a misleading number. Try the worked example of a 40 year old and a 10 year old to see when the older is exactly twice the younger, then enter your own ages and multiple. It suits students, teachers and anyone wanting a fast, accurate answer without working through the algebra by hand.

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