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Eva santiago is now 4 times as old as her son . four years ago she was ten times as old as her son. how old are eva and her son now

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Answer:

Eva's age = 24 years old

Eva's son's age = 6 years old

Explanation:

We can find the ages of Eva Santiago and her son using a system of equations where E represents Eva's age and S represents her son's age.

First equation:

Since Eva is currently 4 times as old as her son, our first equation is given by:

E = 4S

Second equation:

Since Eva was ten times as old as her son four years ago, our second equation is given by:

E - 4 = 10(S - 4)

Method to solve: Substitution:

Now we can substitute E = 4S for E in E - 4 = 10(S - 4) to find S, the son's age:

4S - 4 = 10(S - 4)

Distributing the 10 gives us:

(4S - 4 = 10S - 40) + 4

(4S = 10S - 36) - 10S

(-6S = -36) / -6

S = 6

Thus, the son is currently 6 years old.

Finding Eva's age:

Now, we can plug in 6 for S in E = 4S to find Eva's current age:

E = 4(6)

E = 24

Thus, Eva is currently 24 years old.

Checking the validity of our answers:

Since 24 is indeed 4 times 6, the first statement is satisfied.

Four years ago, Eva was 20 as 24 - 4 = 20 while her son was 2 as 6 - 4 = 2. Since 20 is indeed 10 times 2, the second statement is also satisfied.

Thus, our answers are correct.

User Robbin
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