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
Elena L [17]
3 years ago
11

The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

44 years

Step-by-step explanation:

The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?

Let Michael age = x , Leah = y

x+ y = 71 ....... ..(1)

10 year ago

Michael = x -10

Leah = y - 10

Michael = 2×leah

x - 10 = 2(y-10)

x - 10= 2y - 20

x - 2y = -20+10

x - 2y = -10 ...........(2)

x + y = 71 .........  (1)

Solve simultaneously using elimination method, subtract 1 from 2

-2y - y = -10-71

-3y = -81

Divide both sides by -3

y = -81/-3

y =27

x+y = 71

Put y =27

x+27= 71

x = 71 -27

x =44 years

Therefore Michael is 44years

I hope this was helpful, please mark as brainliest

You might be interested in
Use set builder notation to give a description of each of these sets. a) {0,3,6,9,12} b) {−3,−2,−1,0,1,2,3} c) {m,n,o,p}
attashe74 [19]

Answer:

\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}\\\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}\\\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}

Step-by-step explanation:

The set is a well-defined collection of objects.

Set builder form describes the set by stating the property of each of its elements.

a)

\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}

W is a set of whole numbers.

b)

\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}

c)

\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}

7 0
3 years ago
Solve algebraically please URGENT <br> y=5x−7 <br> −6x−4y=−24
Kazeer [188]

\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}

7 0
3 years ago
Which list shows the runners in order by their completion times from fastest to slowest
gogolik [260]

Answer:

answer is D

Step-by-step explanation:

12+1/2=12.5          12+2/5=12.4

3 0
2 years ago
What is the rate of change?? please i need asap
Mariana [72]

Answer: Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

7 0
2 years ago
In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications
Vedmedyk [2.9K]

Answer:

since we have 6 witnesses and 5 men so,

therefore the probability that they would pick the same man is \frac{5}{6} =0.83333 to 5 decimal places

Step-by-step explanation:

probability is the likelihood of an event occurring or not happening.

6 0
3 years ago
Other questions:
  • Write an expression that has three terms, two different variables, and one constant
    9·1 answer
  • Someone please help ASAP?
    10·1 answer
  • X/3 in a fraction -4=5
    12·1 answer
  • wahaj buy a pizza for rs 800 a week later the same pizza cost re 900 when wahaj ask the manager for the reason he explains that
    5·1 answer
  • Suppose karl uses 5 cups of tomatoes how many salqds can he make? Write a division equation and multiplication equation
    15·1 answer
  • What equals 44 in multiplication?
    6·1 answer
  • Anyone know this answer please and thank you
    5·1 answer
  • If f(x) = 2x2 + 1, what is f(x) when x = 3?.
    14·1 answer
  • PLEASE I REALLY NEED HELP
    15·1 answer
  • Can someone please urgently help me with this
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!