Question
The difference between a two-digit number and the number obtained by
interchanging the digits is 36. What is the difference between the sum
and the difference of the digits of the number if the ratio between the
digits of the number is 1 : 2 ?
The difference between a two-digit number and the number obtained by
interchanging the digits is 36. What is the difference between the sum
and the difference of the digits of the number if the ratio between the
digits of the number is 1 : 2 ?
Answer: Option D
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Since the number is greater than the number obtained on
reversing the digits, so the ten's digit is greater than the
unit's digit.
Let ten's and unit's digits be 2x and x respectively.
Then,(10 x 2x + x)-(10x + 2x) = 36
=>9x = 36
x=4.
Required difference =(2x + x)-(2x - x)
=>2x
=>8.
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