The sum of John and poni age is 10 and their product is 21.find John's age and poni's age?

Let's denote John's age as x and Poni's age as y.

From the given information, we have the following two equations:

1) x + y = 10
2) x * y = 21

From equation 1, we can express y in terms of x:
y = 10 - x

Substitute this into equation 2:
x * (10 - x) = 21
10x - x^2 = 21
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0

So, x = 7 or x = 3

If x = 7, then y = 10 - 7 = 3
If x = 3, then y = 10 - 3 = 7

Therefore, John's age is 7 and Poni's age is 3.

Let John's age be x and Poni's age be y.

Given:

- x + y = 10 (sum of their ages is 10)
- x - y = 21 (product of their ages is 21)

From the first equation, we can write x as:

x = 10 - y

Substituting this into the second equation, we get:

(10 - y) - y = 21

Expanding and simplifying:

10y - y² = 21
y² - 10y + 21 = 0
(y - 3)(y - 7) = 0

Therefore, y = 3 or y = 7.

If y = 3, then x = 10 - 3 = 7.

If y = 7, then x = 10 - 7 = 3.

Hence, John's age is either 3 or 7, and Poni's age is either 7 or 3.