coolaadhya123 coolaadhya123
  • 11-09-2020
  • Mathematics
contestada

what is the smallest two digit positive integer such that the product of its two digits is one-half the integer

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 11-09-2020

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

Answer Link

Otras preguntas

in what ways is climate controlled by the sun and the water cycle ?
What are two different ways to describe and label the layers of the Earth?
When was World War I?
Does the depth of a pan affect how water freezes?
Solving systems by elimination: 2x + 4y = -4 3x + 5y = -3 Please show me your work so I can do the rest myself. Thanks!
You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere thg will fit inside it? If you can will you
Solving systems by elimination: 2x + 4y = -4 3x + 5y = -3 Please show me your work so I can do the rest myself. Thanks!
What is Sir Francis Drake hardships
What two major processes are involved in the oxygen cycle?
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?