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A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 36 less than the original number. What is the number?
  • a)
    66
  • b)
    84
  • c)
    48
  • d)
    72
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A two digit number is 7 times the sum of its two digits. The number th...
Let the two digit number is = (10x+y)
According to question,
(10x+y) = 7 (x+y)
3x = 6y
x= 2y
(10x+y) - (10y+x) = 36
9x – 9y = 36
x – y = 4
since x = 2y, so 2y – y = 4
y = 4 ,x = 8
so, the two-digit number is (10x+y) = 10(8) +4 = 84
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A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 36 less than the original number. What is the number?a)66b)84c)48d)72Correct answer is option 'B'. Can you explain this answer?
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