Question

the sum of the digits of a 2-digit number is 12. The number is 6 times the units digit. Find the number.​

Answer 1

Answer:

x+y=12

10x+y =6y

x=12–y

12-y+y=6y

12=6y

y=12/6

y=2

x=12-2

x=10

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Answer 2

Step-by-step explanation:

Working this out algebraically:

Let the number by xy

The sum of the digits is 12:

x + y = 12 {equation 1}

The value of the number is 6 time the units digit:

6y = 10x + y

5y = 10x

y = 2x {equation 2}

Since x+y = 12 and y = 2x we have:

x + 2x = 12

3x = 12

x = 4

y = 2x = 2(4) = 8

xy = 48