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Just prettified your answer.
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edit approved Jun 10, 2016 at 8:55
Vamanan Rajadurai
edit approved Jun 10, 2016 at 8:55
Vamanan Rajadurai
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Their ages are:

71, 9, 4$71, 9, 4$

Reasoning:

The oldest grandchild's age is (presumably) a perfect square, and the square of her age is 10$10$ years older than a reasonable grandma age, so we can guess that she is now 9$9$. That makes the grandma 71$71$, and the younger child is 4$4$. So thus the grandma was 64$64$ when she was diagnosed.

Their ages are:

71, 9, 4

Reasoning:

The oldest grandchild's age is (presumably) a perfect square, and the square of her age is 10 years older than a reasonable grandma age, so we can guess that she is now 9. That makes the grandma 71, and the younger child is 4. So thus the grandma was 64 when she was diagnosed.

Their ages are:

$71, 9, 4$

Reasoning:

The oldest grandchild's age is (presumably) a perfect square, and the square of her age is $10$ years older than a reasonable grandma age, so we can guess that she is now $9$. That makes the grandma $71$, and the younger child is $4$. So thus the grandma was $64$ when she was diagnosed.

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Patrick N
Patrick N
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Their ages are:

71, 9, 4

Reasoning:

The oldest grandchild's age is (presumably) a perfect square, and the square of her age is 10 years older than a reasonable grandma age, so we can guess that she is now 9. That makes the grandma 71, and the younger child is 4. So thus the grandma was 64 when she was diagnosed.