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
eduard
1 year ago
6

Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I

Mathematics
1 answer:
lapo4ka [179]1 year ago
6 0

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

You might be interested in
Which inequality is represented by the graph?
PSYCHO15rus [73]

Answer:

<h2>NONE OF THEM</h2>

Step-by-step explanation:

From the graph,

y and x intercepts are (0,-3) and approximately (1.9,0) respectively

for A, C and D : y=53x-3

x intercept the value of y=0, and y intercept x=0.

x and y intercepts are (\frac{3}{53},0 ) and approximately (0,-3) respectively

for B: y=35x-5

 x and y intercepts are (\frac{3}{35},0 ) and approximately (0,-3) respectively

Therefore x and y intercepts for the lines y\leq 53x-3,y>53x-3, y and y they are not equal to the x and y intercepts of the given graph

3 0
2 years ago
Please answerrrr Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1). a line labeled g of x that passes through points 0, negati
Mrrafil [7]

Answer:

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

Step-by-step explanation:

we have

f(x)=4x-2

g(x)=f(x+1)

To determine g(x), substitute the variable x by (x+1) in the function f(x)

so

f(x+1)=4(x+1)-2

f(x+1)=4x+4-2

f(x+1)=4x+2

g(x)=f(x+1)

g(x)=4x+2

therefore

a line labeled g of x that passes through points negative 1, negative 2 and 0, 2

4 0
3 years ago
Read 2 more answers
What is the lateral area of the cylinder
nikitadnepr [17]
Picture please!!!!!!!!!!!!!!!!!!!!!!
5 0
3 years ago
Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be
Tanzania [10]

Answer:3/8

Step-by-step explanation:Khan academy

4 0
3 years ago
Read 2 more answers
Write an expression that represents the value in cents of n nickels
erma4kov [3.2K]
An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n
8 0
3 years ago
Read 2 more answers
Other questions:
  • Show how to make one addend the next tens number. 22+49=?
    11·1 answer
  • What is the answer and why is it that answer
    14·1 answer
  • The City Transit Authority plans to hire 12 new bus drivers. From a group of 100 qualified applicants, of whom 65 are men and 35
    9·1 answer
  • 2 Points
    11·1 answer
  • If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many
    12·1 answer
  • Lydia feeds her dog everyday from the same bag of dog food. She opened a new bag that contains 52 cups of food. if her dog eats
    15·1 answer
  • OMG MY TEACHER THINKS IM CHEATING WHAT DO I DOOO​
    8·2 answers
  • Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest
    14·1 answer
  • 1.) Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-
    11·1 answer
  • Jenny has $2525 and she earns $1010 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $6565. Enter the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!