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One number is 10 times as large as another, and their difference is 81. Find the numbers.
If x represents the smaller number, then the larger number is
10
10x
X - 10​

Respuesta :

Answer:

90

Step-by-step explanation:

10x - x = 81

9x = 81

x = 9

larger number = 10 x 9 = 90

carlosego

For this case we have that "x" is the variable that represents the smallest number to find. Let and the variable that represents the largest number, then:[tex]y = 10x\\y-x = 81[/tex]

Substituting the first equation in the second:

[tex]10x-x = 81\\9x = 81\\x = \frac {81} {9}\\x = 9[/tex]

So, the biggest number is:

[tex]y = 10 * 9 \\y = 90[/tex]

Answer:

10x

90

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