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A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number is
  • a)
    63
  • b)
    35
  • c)
    36
  • d)
    60
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A number consisting of two digits is four times the sum of its digits ...
Given:
- A number consisting of two digits
- It is four times the sum of its digits
- If 27 is added to it, the digits are reversed

To find:
- The number

Solution:
Let the number be represented as 10x + y, where x and y are the digits.
According to the first condition, we have:

10x + y = 4(x + y)
=> 6x = 3y
=> 2x = y (dividing both sides by 3)

So, y is twice the value of x.

Now, according to the second condition:

10x + y + 27 = 10y + x
=> 9x - 9y = -27
=> x - y = -3
=> y - x = 3 (since we know y = 2x)

Solving these two equations, we get:

x = 3 and y = 6

Therefore, the number is:

10x + y = 10(3) + 6 = 36

Hence, the correct answer is option C (36).
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Community Answer
A number consisting of two digits is four times the sum of its digits ...
The two numbers are 3 and 6
their sum is 9
four times the sum of digits is 36
if we add 27 the number becomes 63 ( it means the digits are reversed)
Ans : "C"
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A number consisting of two digits is four times the sum of its digits and if 27 be added to it the digits are reversed. The number isa)63b)35c)36d)60Correct answer is option 'C'. Can you explain this answer?
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