A number is 4 times the sum of its digits. The units digit is two more than the tens digit. Find the number.

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

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Step-by-step explanation:

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