the digit in the tens place is 1 more than twice the digit in the units place.if the digits are reversed,the difference between the two numbers is 27.Find the original number.
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0
Answer:
Let the digit at units place be x.
Then the digit at tens place would be 2x + 1.
Number = 10(2x + 1) + 1(x) = 20x + 10 + x = 21x + 10
Reversed Number = 10(x) + 1(2x + 1) = 10x + 2x + 1 = 12x + 1
Difference = 27
27 = 21x + 10 - (12x + 1)
27 = 21x + 10 - 12x - 1
27 = 9x + 9
18 = 9x
x = 2
Units Place = x = 2
Tens Place = 2x + 1 = 4 + 1 = 5
Original Number = 10(5)+ 1(2) = 50 + 2 = 52
Step-by-step explanation:
Answered by
0
Answer:
52
Step-by-step explanation:
Let unit in units place be x
so, unit in tens place = 2x+1
so, no. = (2x+1)*10+(x*1)
so, reversed no. = 10x+ 2x+1
A/Q,
{(2x+1)*10+(x*1)}-{10x+2x+1}=27
=> {20x+10+x}-{12x+1}=27
=> 21x+10-12x-1=27
=> 9x= 27-10+1
=> x=18/9
=>.x=2
Therefore, the no. is (2x+1)*10+(x+1)
= 52
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