Question

there are 6 children, each with a unique age under 10, whose ages multiply to 1260. Also, the age of 4 these children is a prime number. What is the sun of the ages of these 6 children?

Answer 1

This is a classic math problem. Let's break it down.

We know that the product of the ages of the 6 children is 1260. We also know that 4 of the children have prime-number ages.

Let's first find the prime numbers under 10: 2, 3, 5, and 7 ¹. Since 4 of the children have prime-number ages, we can deduce that the ages of these 4 children are 2, 3, 5, and 7.

Now, let's find the ages of the remaining 2 children. We can do this by dividing 1260 by the product of the ages of the 4 children we just found: 2 x 3 x 5 x 7 = 210. This gives us 1260 / 210 = 6. Therefore, the ages of the remaining 2 children are 6 and 6.

Finally, we can add up the ages of all 6 children to get the sum of their ages: 2 + 3 + 5 + 7 + 6 + 6 = **29**.

Therefore, the sum of the ages of the 6 children is **29**.