In a two digit number the tens digit is twice the unit digit. When the digits are reversed, the new number formed is 18 less than the original number. Find the original number.
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Solution:- Let the unit digit number be x. The tens digit number = 2x
Original number will be 10 × 2x + x
= 20x + x
= 21x.
New number = 10 × x + 2x
= 10x + 2x
= 12x.
Now 21x - 12x = 18
9x = 18
x = 2
Unit digit = 2
Tens digit = 2 × 2
= 4
Number = 10 × 4 + 2
= 42.
Original number will be 10 × 2x + x
= 20x + x
= 21x.
New number = 10 × x + 2x
= 10x + 2x
= 12x.
Now 21x - 12x = 18
9x = 18
x = 2
Unit digit = 2
Tens digit = 2 × 2
= 4
Number = 10 × 4 + 2
= 42.
harpindergrewal786:
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it is copy but my answer is also same so i send this
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