Question

Yemi is 5 years older than kunle.The product of their ages is 750. How old is kunle.​

Answer 1

Answer:

Kunie is 25

Step-by-step explanation:

Let's make Yemi's age y, and Kunie's age k.

Because Yemi is 5 years older that Kunie, k + 5 = y.

Because the product of their ages is 750, k * y = 750.

With substitution, we can determine that k * (k + 5) = 750.

Then with distributive property we can simplify the equation to get k^2 + 5k = 750.

Then we bring all the terms to one side of the equation to get k^2 + 5k - 750 = 0.

Then with quadratics, we can factor the equation to get (k + 30)(k - 25)=0.

Thus, either k + 30 must equal 0, or k - 25 must equal 0.  Thus, k must equal 25 or -30, and because someone cannot be -30 years old, k = 25.

Then, because Yemi is 5 years older than Kunie, y = 30.

Hope it helps <3

Answer 2

Kunle's age is marked as k.

Yemi's age is therefore k + 5.

The product of k and k + 5 equals 750.

What is k?

Now that we have tought this through...

Here is the equality:

$k(k+5)=750$

Expanding the parentheses and subtracting 750 from both sides gives you

$k^2+5k-750=0$

Which is a second degree polynomial (ie. quadratic equation).

That means there are two solutions of what Kunle's age might be.

$k^2+5k-750=0$

$k^2+30k-25k-750=0$

$k(k+30)-25(k+30)=0$

$(k+30) (k-25) =0\implies k_1=-30, k_2=25$

So we got two results and since age cannot be negative that leaves us with one result and that is 25.

TL;DR The answer is: Kunle is 25 years old.

Hope this helps.