Question

The units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number.

Answer 1

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x: the unit digit

y: the tens digit

The unit digit is twice the tens digit so:

x=2y

The two digit number:

10y+x

The two digit number doubled:

2(10y+x)

The reversed number:

10x+y

So:

2(10y+x)=10x+y+12

substitute x for 2y

2(10y+2y)=10(2y)+y+12

24y=21y + 12

3y=12

y=4

x=2y=2*4=8

So the number is 48.

Answer 2

Step-by-step explanation:

x: the unit digit

y: the tens digit

The unit digit is twice the tens digit so:

x=2y

The two digit number:

10y+x

The two digit number doubled:

2(10y+x)

The reversed number:

10x+y

So:

2(10y+x)=10x+y+12

substitute x for 2y

2(10y+2y)=10(2y)+y+12

24y=21y + 12

3y=12

y=4

x=2y=2*4=8

So the number is 48.