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
Novosadov [1.4K]
2 years ago
15

the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul

t is a fourth of the original number. Find the original number.
Mathematics
1 answer:
likoan [24]2 years ago
6 0

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

You might be interested in
List the subsets of the set { dog,cat,rabbit}
ser-zykov [4K]

Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think

Step-by-step explanation:

7 0
3 years ago
Bob invests $10,000 at 8% annual interest compounded continuously. How much is in the account after 12 years?
mihalych1998 [28]

Answer:

The answer would be C $25,181.70

since i kinda forgot the proper way its just 10000 times 1.08 them do that 12 times

3 0
3 years ago
Read 2 more answers
You have $50 to spend at the fair. Admission is $5 and tickets are $0.50 each. How many tickets can you buy? {Write an equation.
anzhelika [568]

Answer:

You can buy 90 tickets

6 0
2 years ago
Almonds are a member of the peach family
Alex777 [14]

faxxxxxxxxxxxxxxxxxxxx

6 0
3 years ago
Six times a number is less than 72
anastassius [24]
It could be any number under 11
6 0
3 years ago
Read 2 more answers
Other questions:
  • Is is true that when two probabilities are multiplied the probability represents a simple event
    5·2 answers
  • 1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75
    10·1 answer
  • Simplify the following expres<br> (- 4xy-2) - 5<br> (xy-2)-1
    9·2 answers
  • Help please uwuwuuwuwwuwuwuuwwuwuuwu
    5·2 answers
  • What is the equation for g(x)?
    9·1 answer
  • Write 4/5 as a decimal
    10·2 answers
  • How much money will i get in 5.4 hours if i get $4 per 6 hours
    6·1 answer
  • Help !! ASAP PLSS !!!
    11·1 answer
  • Can someone please help me?!!!
    5·1 answer
  • Thre graph of a polynomial f(x)=(2x-3)(x-4)(x+3) has x-intercepts at 3 x values. what are they?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!