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Natalie is one-third as old as her mother. If the difference of their ages is 24 years, how old is Natalie? a) 8 years old. b) 16 years old. c) 36 years old. d) 72 years old.

2 Answers

2 votes

Answer:

The answer is D, 72.

Explanation:

et’s solve this problem step by step.

We are given that Natalie is one-third as old as her mother and the difference in their ages is 24 years. Let’s assume Natalie’s age is N and her mother’s age is M.

From the first piece of information, we can write the equation: N = (1/3)M.

From the second piece of information, we can write another equation: M - N = 24.

To solve this system of equations, we can substitute the value of N from the first equation into the second equation:

(1/3)M - N = 24.

Multiplying both sides of the equation by 3 to eliminate the fraction, we get:

M - 3N = 72.

Now, we have two equations:

N = (1/3)M

M - 3N = 72

We can solve this system of equations using substitution or elimination. Let’s use substitution:

From equation 1, we can express M in terms of N: M = 3N.

Substituting this value of M into equation 2, we get:

3N - 3N = 72.

Simplifying further, we find:

0 = 72.

User Kesarling
by
7.5k points
3 votes

Answer:

The answer is D, 72.

Explanation:

et’s solve this problem step by step.

We are given that Natalie is one-third as old as her mother and the difference in their ages is 24 years. Let’s assume Natalie’s age is N and her mother’s age is M.

From the first piece of information, we can write the equation: N = (1/3)M.

From the second piece of information, we can write another equation: M - N = 24.

To solve this system of equations, we can substitute the value of N from the first equation into the second equation:

(1/3)M - N = 24.

Multiplying both sides of the equation by 3 to eliminate the fraction, we get:

M - 3N = 72.

Now, we have two equations:

N = (1/3)M

M - 3N = 72

We can solve this system of equations using substitution or elimination. Let’s use substitution:

From equation 1, we can express M in terms of N: M = 3N.

Substituting this value of M into equation 2, we get:

3N - 3N = 72.

Simplifying further, we find:

0 = 72.

User Andrew Carreiro
by
8.5k points

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