ama is 3 years older than karla and daniel is 2 years older than ama the add their ages is 32, how old is each child
just put the words into math:
a = k+3
d = a+2 so d = k+3+2 = k+5
a+k+d = 32
k+3 + k + k+5 = 32
now finish it off
We could start by defining karla's age ...
let karla's age be x years
then ama is x+3
daniel is x+2 + 2 = x+5
x + x+3 + x+5 = 32
solve for x, then sub into my definitions
To solve this problem, we can use algebraic expressions.
Let's assume Karla's age as K.
Since Ama is 3 years older than Karla, Ama's age can be expressed as K + 3.
And since Daniel is 2 years older than Ama, Daniel's age can be expressed as (K + 3) + 2, which simplifies to K + 5.
The sum of their ages is given as 32, so we can set up the equation:
K + (K + 3) + (K + 5) = 32.
Combining like terms, we get:
3K + 8 = 32.
Subtracting 8 from both sides, we have:
3K = 24.
Dividing both sides by 3, we find:
K = 8.
So, Karla is 8 years old.
Substituting the value of K back into the expressions for Ama and Daniel, we can find their ages:
Ama = K + 3 = 8 + 3 = 11.
Daniel = (K + 3) + 2 = 11 + 2 = 13.
Therefore, Karla is 8 years old, Ama is 11 years old, and Daniel is 13 years old.