1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepladder [879]
3 years ago
14

Lucas' mom is eight years older than twice his age. The sum of their ages is 77. How old are Lucas and his mom?

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

Age of Lucas = 23 years

Age of Lucas Mom = 54 Years

Step-by-step explanation:

In this question we have to find the age of Lucas and his Mom

Let the age of Lucas be x

According to given condition

Twice of his age 2 * x =2x

Eight years older means age + 8x

So

Age of his mom = Twice of his age + 8

                           = 2x + 8               .................(ii)

now according to second condition

Age of Lucas + Age of his mom = 77

Put the values in the condition above

x + (2x + 8) = 77

x + 2x + 8 =77

3x + 8 = 77

subtracting 8 from both sides

3x + 8 - 8 = 77 -8

3x = 69

Dividing both sides by 3

x = 69 / 3

x = 23 years

Age of Lucas = 23 years

Now from equation (i)

Age of Lucas Mom = 2(x) + 8

putting in the value we get

Age of Lucas Mom = 2 ( 23) + 8

                               =46 + 8

                               =54 Years

Age of Lucas Mom = 54 Years

You might be interested in
0.0338 divided by 1.3
maxonik [38]

0.0338 divided by 1.3 equals 0.026


7 0
2 years ago
Read 2 more answers
solve the following systems of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the
kodGreya [7K]
If you multiply the top equation by -2 you get:

-4x -14y = 14 => -4x = 14+14y

now you can plug in the -4x into the second equation:

 14+14y - 3y = -19 => 11y = -33 => y=-3

Fill in y=-3 in either equation to find x:

2x - 21 = -7 => 2x = 14 => x=7

So your ordered pair is (7,-3)
7 0
3 years ago
A store I selling all toaster ovens at 15% off. Write an equation in the form y=kx
slavikrds [6]
The answer is y equals 0.85 x. Hope this help you
5 0
2 years ago
Please help, I'll give brainliest!! Tysm
zmey [24]

Answer:

C.

Step-by-step explanation:

Negative exponents on the top is equivalent to them being positive in the bottom.

7 0
2 years ago
Read 2 more answers
A leaky faucet waste 3600 gallons of water per year.how many quarts does it waste per month
lianna [129]

There are 12 months in a year, so you need to divide 3600 by 12. 3600 / 12 = 300. The faucet wastes 300 gallons of water per month.

3 0
3 years ago
Other questions:
  • Which circle with center U shows a central angle whose intercepted arc, zv, measures 58 ?
    13·1 answer
  • Find the vector with initial point p (4, 3) and terminal point q (–9, –4).
    8·1 answer
  • What is the graph of y=-(x-2)^3-5
    12·1 answer
  • What is the simplified form of the following expression?
    8·1 answer
  • 1
    8·1 answer
  • Write the value of pi correct to<br>six decimal places.<br>Please answer quick​
    14·1 answer
  • In great detail, with full work done out, please find x<br> 1 + x = 2
    6·1 answer
  • Pyramid A is a square pyramid with a base side length of 8inches and height of 9inches. pyramid B has a volume of 2880in cubed.
    15·1 answer
  • Multiply and place the decimal point in the product of each problem -0.7 x 0.2
    7·2 answers
  • The average price of an item is $42 with a standard deviation of $3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!