the difference between a 2 digit no and the no obtained by interchanging the digit is 36 what are the digit of the no if the ratio between the digit of the no is 1:2
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0
Answer:
MUJHE NAHI PATA
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Answered by
0
Answer:
8
Step-by-step explanation:
Number = 10 × x + y = 10x+y
Interchanged Digits = 10 × y + x = 10y+x
Hence, the Equation is,
(10x+y) − (10y+x) = 36
10x + y - 10y - x = 36
9x - 9y = 36
Dividing entire equation by 9
x - y = 4 ___(i)
y:x = 1:2
x = 2y ___(ii)
Substituting values in eq (i)
x - y = 4
(2y) - y = 4
y = 4
Substituting value in eq (ii)
x = 2y
x = 2(4)
x = 8
The Number = 10x + y
=10(8) + 4
= 80 + 4
= 84
Sum = x + y = 8 + 4 = 12
Difference = x - y = 8 - 4 = 4
Difference between the sum and the difference of the digits of the number = Sum - Difference
= 12 - 4
= 8
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