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PIT_PIT [208]
3 years ago
5

The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more

than the original number. Find the number.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

37

Step-by-step explanation:

Let the initial number be xy=10x+y.

Initial number:

Units digit = y

Tens digit = x

The units digit of a 2-digit number is 1 more than twice the tens digit, then

y=2x+1

Reversed number is yx=10y+x.

If the new number is 36 more than the original number, then

(10y+x)-(10x+y)=36

Simplify this equation:

10y+x-10x-y=36\\ \\9y-9x=36\\ \\y-x=4

Substitute y=2x+1 into the equation y-x=4:

(2x+1)-x=4\\ \\2x+1-x=4\\ \\x+1=4\\ \\x=3\\ \\y=2\cdot 3+1=7

Initial number: 37

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