Question

The ages of three siblings are all consecutive integers. The sum of their ages is 39. How old is the youngest sibling equation: Solution: years old. equation ​

Answer 1

12,13,14

Explanation:

Consecutive means something like 1,2,3 or 43,44,45.

So we know the siblings age is something like that.

We start from the youngest, and let's say the youngest's age is x.

Remember consecutive? So the three siblings' age would be x, x+1, x+2 respectively. We can prove this is consecutive by replacing x with a random number, say, 2. That would make x, x+1, x+2 become 2, 2+1, 2+2, which is 2,3,4.

Sum of their age is 39:

Adding x, x+1, x+2 together is 39, so x + x+1 + x+2 = 39

We can further simplify x + x+1 + x+2 = 39 into

3x + 3 = 39

3x = 39-3

3x= 36

x=36÷3

x=12

Remember that x is the youngest age? So naturally the three siblings' ages are 12, 13 and 14 respectively.