A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is _______

a)
16

b)
72

c)
63

d)
27

e)
Can not be determined

Correct answer is option 'D'. Can you explain this answer?

Question

A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is _______

a)
16
b)
72
c)
63
d)
27
e)
Can not be determined

Correct answer is option 'D'. Can you explain this answer?

Answer

Let tens digit be x and ones be y,
then
10x+y=3(x+y) - (i)
and (10y+x)-(10x+y)=45 - (ii)
Solving these two, we get
x=2, y=7
Hence number is 27.

Hope it helps!

Answer

Given information:
- A certain number of two digits is three times the sum of its digits.
- If 45 is added to it, the digits are reversed.

Let's assume the number to be 10x+y, where x and y are the digits of the number.

First condition: 10x+y = 3(x+y)
Simplifying this equation, we get:
7x = 2y

Second condition: 10x+y+45 = 10y+x
Simplifying this equation, we get:
9x-9y = -45
=> x-y = -5

Now we have two equations:
7x = 2y
x-y = -5

Solving these equations, we get:
x = 2, y = 7

Therefore, the number is 27, which is the correct answer.

Answer

Option D is not correct,,option C is right....apart from its solving method u can directly put the options and check....u'll see by method and by option answer C will come...by method pranav gupta has already solve it,u can see that and by option
if we put option C
27 is 3 three times of its digits sum.and if we add45 in it it will become 72. i.e digits are reveresed

Answer

We can simply add the options and there results if we reverse we then add two and multiple 3 times we can answer D    45+27=72 if we reverse  27 sum of two 9x3 =27 , remaining number three digit hence the answer is 27

Answer

A certain number of two digits is three times the sum of its digits only 27 satisfies this condition.
27 + 45 = 72
Therefore Ans is – 27

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