Ten's place digit of two-digit number is greater than the unit place digit by 7. If the sum of the digits i
the number, find number.
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Step-by-step explanation:
The number is a two digit number.
Let us assume, the unit place digit is X. So, tens place digit is (x+7).
Now,
The number is,
={10(X+7)}+X
=10X+70+X
=11X+70
Reversing the digits-
The Unit position is (X+7)
Tens position is X
So, the new number is
={10X+(X+7)
=11X+7
The sum of the two numbers is 66
Then, (11X+70)+(11X+7)=66
=>22X+77=66
=>2X+7=6
=>2X=6-7
=>X= -(1/2)= -0.5
So the unit digit is -0.5
The answer is, if the obtained number is reversed and the digit is 66, then it should be
11X+70
= -(11/2)+70
= 70-5.5
= 64.5
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