Answered

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Today, Ajani is 1/3Steven's age. If in 5 years, Ajani will be 1/2Steven's age, how old isSteven today?E.5F. 15G. 20H. 30

Sagot :

First of all, let's call Ajani's age A and Steven's age S.

If Ajani's age is 1/3 of Steven's, then we can form the following equation:

[tex]A=\frac{1}{3}S[/tex]

This is our first equation. Now we need the second one, which is from the part which says: In 5 years (refers to addition), Ajani will be 1/2 Steven's age, that would mean:

[tex]A+5=\frac{1}{2}(S+5)[/tex]

Notice how we use the addition to state the 5 years in the future.

Then, we substitute the first equation into the second one:

[tex]\frac{1}{3}S+5=\frac{S}{2}+\frac{5}{2}[/tex]

Now, we solve the equation for S using basic algebra to get:

[tex]\text{​S}=15[/tex]

Therefore, the right answer is F, that is, Steven's age today is 15

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