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
Paha777 [63]
3 years ago
11

If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in

the two-digit number, the new number is 18 more than the sum of its two digits. What is the original number?
A.250,250
B.315,185
C.370,230
D.410,90
E.480,20
Mathematics
2 answers:
MariettaO [177]3 years ago
8 0
Let x be the first digit (ten's place) of the original number.
Let y be the second digit (one's place) of the original number.

(x + y)7 = original number
(x + y)7 = 10x + y
7x + 7y = 10x + y
6y = 3x

10y + x = (x + y) + 18
9y = 18
y = 2

6y = 3x
6(2) = 3x
12 = 3x
x = 4

x is the first digit, and y is the second digit, so the original number is 42.
kolbaska11 [484]3 years ago
3 0
The answer is A. 42

Solution:
Let x= ones digit, y=tens digit

1st condition (original number) : 7(x+y)=10y + x
2nd condition (new number by reversing the digits): 18+x+y=10x+y

simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
<span>y=4</span>
You might be interested in
Is 2 greater Than or less than or equivalent to 30 in
gizmo_the_mogwai [7]
The positive number 2 is 28 numbers less than 30 in, and because you pointed out 30 is in inches I’m guessing 2 is in inches also.
6 0
3 years ago
Solve for b.<br><br> 3 (b−4 )+ 5b = 44<br><br><br> b =
Sergeu [11.5K]
B=7
3(b-4)+5b=44
3b-12+5b=44
8b=44+12
8b=56
b=7
7 0
3 years ago
For a school event, of the athletic field is reserved for the fifth-grade classes.
Rashid [163]

Answer:

1/4

Step-by-step explanation:

4 classes, each class gets one spot!

4 0
3 years ago
Evaluate if m = 16 and p = 2. 1/2m + 3p
Lunna [17]

Answer is 14

EXPLANATION:

(1/2)(16)+(3)(2) =

8+6 =

14

3 0
2 years ago
Please help i’ll give brainliest
Georgia [21]

Answer: D

Step-by-step explanation:

Substitute values for x until they all work.

A. y = 2 x 2 + 5 = 9 fail

B. y = 2 x 2 - 6 = -2 fail

C. y = -2 x 2 - 5 = -9 fail

D. y = -0.5 x 2 - 5 = -6 ok

y = -0.5 x 5 - 5 = -7.5 ok

y = -0.5 x 6 - 5 = -8 ok

4 0
2 years ago
Other questions:
  • if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?
    9·1 answer
  • Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
    15·2 answers
  • Find the centroid of the region that is bounded below by the​ x-axis and above by the ellipse left parenthesis StartFraction x s
    9·1 answer
  • Help with geometry????????????
    5·1 answer
  • What is the least common multiple of 25, 10 and 30?
    13·2 answers
  • 5. Simplify the expression:
    10·2 answers
  • 2/3 X +9 equals -18 what is x?
    12·2 answers
  • Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed
    10·1 answer
  • Hi can someone please answer this thanks xoxo will mark brainliest
    14·1 answer
  • Identify the relationship between 8 and 6
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!