# maths

A number of two digit is such that four times the unit digit is five greater than trice the tense digit.when the digit are reserved,the number is increased by nine find the number.

1. 👍
2. 👎
3. 👁

A two digits number is such that four times the unit digit is five times greater than the tens digit. When the digits are reversed, the number is increased by nine. Find the number?

then

a = the tens digit

b = the unit digit

x = 10 a + b

Four times the unit digit is five time greater than twice the tens digit means:

4 b = 5 a

When the digit are reserved new number is 10 b + a

When the digit are reserved, the number is increased by nine means:

10 b + a = x + 9

Replace x with 10 a + b in this equation

10 b + a = 10 a + b + 9

Subtract b to both sides

9 b + a = 10 a + 9

Subtract a to both sides

9 b = 9 a + 9

Divide both sides by 9

b = a + 1

Now you must solve system:

4 b = 5 a

b = a + 1
_______

The solution is a = 4 , b = 5

x = 10 a + b

x = 10 ∙ 4 + 5

x = 40 + 5

x = 45

1. 👍
2. 👎

## Similar Questions

1. ### Math

What is the greatest six digit even number that matches all of the clues The ten thousands digit is twice the tens digit The hundred thousands digit is more than six The thousands digit can be divided by the ones digit No digit is

2. ### math

Form the greatest possible 5-digit number using the clues.All five digits are different. None of the five digit are 1.The digit in the ten thousands place is greater than 7.The sum of all five digit is 18.The greatest digit is

3. ### math

The sum of the digits in a three digit number is nine.The tens digit is half the sum of the other two and the hundreds digit is half the unit digit.Find the total value of the second digit

4. ### Math

Use the clues to figure out the six-digit decimal number. 1. It is greater than 3,000 and less than 3,200 2. All the digits are different 3. The digit in the undredths place isa multiple of 5. 4. The product of 5 and th digit in

1. ### Math Decimals

Jason has 4 tiles. Each tile has a number printed on it. The numbers are 2,3,6, and 8. A decimal number is formed using the tiles and the clues. Be a math detective and find the number. Clues: digit in tens place is the greatest

2. ### math

I am a 4 digit number greater than 9,000 my omes digit is 3 and my hundreds digit is the smallest prime number greater than 5 the sum of my digits is 20. What number am i?

3. ### maths

I am a three digit number. My tens digit is twice my ones digit, my hundreds digit is twice my tens digit. I am greater than 500. Who am i?

4. ### Mathematics

What is true of the number 55,555 A. Each digit has value less than the value of the digit time it's right and greater than the value of the digit itself. B. Each digit has a value 10 times the value of the digit to it's right and

1. ### Maths

A two digits number is such that four times the unit digit is five times greater than the tens digit. When the digits are reversed, the number is increased by nine. Find the number?

2. ### Math

It is a 5 digit no. ,palindrome,divisible by 4,10 digit is cube root of 1 digit,product of 100 digit and 1 digit is 54 ,sum of hundred and ones digit is 15.what is the number?

3. ### math

i am a number greater than 70000 but less than 90000. My ten digit is the same as my ones digit. My ten digit is the same as my ones digit. My ten thousand digit is four times my ones digits. Both my hundreds and thousands are

4. ### Math

Determine the digits of Y from these clues. The digits of Y add to 18. The first digit is 3 times the third digit. The second digit is 2 times the third digit. Y is a three digit number.