a girl is three years older than his brother. the product of their ages is 54, find their ages​

Answers

Answer 1

Answer:

The sister is 25.5. The brother is 28.5.

Step-by-step explanation:

25.5 + 28.5 = 54.

Answer 2

The boy's age is 9.

The girl's age is 12.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Boy's age = x

Girl's age:

y = x + 3

Now,

x (x + 3) = 54

x² + 3x - 54 = 0

x² + (9 - 6) - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0

x = 6

x + 9 = 0

x = -9 ( cannot be negative)

Now,

x = 9

Boy's age = 9

Girl's age = 9 + 3 = 12

Thus,

The boy's age and the girl's ages are 9 and 12.

Learn more about expressions here:

https://brainly.com/question/3118662

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Related Questions

Question 8 of 10
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x3 - 2x - 14x + 3 /
X +3
A. x2 - 7x + 1
B. x2 - 6x + 1
c. x2 - 6x + 1
D. x - 8x+1

Answers

Answer: x^2-5x+1

Step-by-step explanation:

A P E X

Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?

Answers

Answer:

you 3.15+5 es igual a 8 .15

Step-by-step explanation:

espero que te sirva

twice the sum of nineteen and twenty is seventy-eight in a symbol ​

Answers

Uhm what’s your question

Combine like terms in the following expression 8x + 3x +10x - 6

Answers

Answer:

21x+−6

work:

Combine Like Terms:

=8x+3x+10x+−6

=(8x+3x+10x)+(−6)

=21x+−6

Answer:

21x-6

Step-by-step explanation:

8x+3x+10x-6

8x+3x=11x+10x+21x

21x-6

you can only combine like terms

suppose that grade point averages of undergraduate students at one university bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.4 describe where approximately 99.7% of a grade point averages lie

Answers

Answer:

2.57-0.4-0.4-0.4=1.37

2.57-0.4-0.4=1.77

so the answer is 1.37 between 3.77

Step-by-step explanation:

Please answer and explain I’ll mark brainliest!!!!!!!!!!!!

Answers

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Can someone help me with these two for brilliant please

Answers

Answer:

its A

Step-by-step explanation:

Answer:

A. y=5.50x

Step-by-step explanation:

Brainlist plz

Can someone please solve this for me btw I’m suppose to be dividing that question using long division

Answers

Answer:

0.343

Step by step explanation:

 0. 3 4 3

8    2. 7 5 0

− 0      

 2 7    

− 2 4    

   3 5  

 − 3 2  

     3 0

   − 2 4

       6

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