mindyourdecisions

The Ages of Sisters Puzzle

Asha and Lata are sisters. Asha’s age is the two digit number AB, and Lata’s age is the two digit number CD. If you write Lata’s age after Asha’s age, then you get ABCD which is a four digit perfect square. In 11 years Asha will be EF and Lata will be GH. Interestingly, if you repeat the exercise, then the four digit number EFGH is also a perfect square. What are Asha and Lata’s ages now? That is, solve for AB and CD. As...