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Anita’s mother is 5 times older than Anita and Anita is twice as old as his sister Rita. In two years

time, the sum of their ages will be 58. How old is Anita now?

User Mschayna
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1 Answer

7 votes

Answer:

8 y.o

Explanation:

Let's begin by assigning variables to the unknown values in the problem.

Let's say:

- Anita's current age is "A"

- Anita's mother's current age is "5A" (since she is 5 times older than Anita)

- Anita's sister's current age is "R" (we don't know Rita's age yet)

From the problem, we also know that "in two years' time," their ages will add up to 58. So, we can create an equation using these variables:

(A + 2) + (5A + 2) + (R + 2) = 58

Simplifying this equation, we get:

6A + R + 6 = 58

6A + R = 52

We also know from the problem that Anita is "twice as old as his sister Rita," so we can create another equation using this information:

A = 2R

We can substitute this equation into the previous one, and solve for R:

6A + R = 52

6(2R) + R = 52

12R + R = 52

13R = 52

R = 4

So we now know that Rita's current age is 4.

Using the equation A = 2R, we can also find Anita's current age:

A = 2R

A = 2(4)

A = 8

Therefore, Anita is currently 8 years old.

User Gnur
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