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Nina is 10 years younger than Deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d, Deepak's age, and n, Nina's age?

Ad = n + 10 d = 3n
Bd = n − 10 d = 3n
Cd = n + 10 n = 3d
Dd = n − 10 n = 3d

Verified Answer :

The answer is A. Deepak is 10 years older than Nina, so it cancels out B and D. And Deepak is 3 times Nina's age, not the other way around.

carlosego

The first thing we must do for this case is to define variables.

We have then:

n: Age of Nina

d: Age of Deepak

We now write the system of equations that models the problem.

Nina is 10 years younger than Deepak:

\(d = n + 10
\)

Deepak is 3 times as old as Nina:


\(d = 3n
\)

Therefore, the system of equations is given by:

\(d = n + 10

d = 3n
\)

Answer:

A system of equations that are used to find d, Deepak's age, and n, Nina's age is:

A) d = n + 10; d = 3n

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