Get expert advice and insights on any topic with IDNLearn.com. Our community provides accurate and timely answers to help you understand and solve any issue.

the number of two digit is equal to four times the sum of digits. if the product of digits is 8 .find the number.​

Sagot :

Answer:

I think you are only intended to find

24

Explanation:

10x + y = 4(x + y)                         Remove the brackets

10x + y = 4x + 4y                         Subtract 4x from both sides

10x - 4x + y = 4x - 4x + 4y          Combine like terms

6x + y = 4y                                  Subtract y from both sides

6x + y - y = 4y - y                        Combine

6x = 3y                                        Divide by 3

6x/3 = 3y/3

2x = y

Put this result in the equation below

x*y = 8

x(2x) = 8

2x^2 = 8                                      Divide by 2

2x^2/2 = 8/2

x^2 = 4                                         Take the square root.

√x^2 = √4

x = ± 2

y = 2*x = ±4

Answer

The plus answer for x and y is the one we'll see about first.

10x + y = 20 + 4 = 24

24 =? 4(2 + 4)

24 =? 4*6 = 24

The product of it's digits = 2 * 4 = 8.

24 is definitely one answer.

========================

What about -2 and - 4

-24 = 4(-2 + -4)

-24 = 4*-6 = -24

That works as well

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.