A two digit number is 4time the sum of its digits. If we interchange the digits the number obtained is 9 less than 4 time the original number. Then find the number.
Answers
Answer:
So the answer is 12.
It's simple mathematical of linear equations.
Suppose the digit is (10X+Y) since it's two digit no.
From first statement "A two digit number is 4 times to its sum of digits” you have one equation
(X+Y)*4= 10X+Y
Solving this gives
Y=2X.
Now from second statement “when 9 is added to the number, the digits will get reversed” you get the equation
(10X+Y) + 9 = 10Y+X.
Solving this gives you.
Y= X+1.
Now put this value of Y into the result of first equation
It becomes
X+1 = 2X
Which gives you
X = 1
And Using this You can get Y= 2
And the no will become 12.
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So the answer is 12.
It's simple mathematical of linear equations.
Suppose the digit is (10X+Y) since it's two digit no.
From first statement "A two digit number is 4 times to its sum of digits” you have one equation
(X+Y)*4= 10X+Y
Solving this gives
Y=2X.
Now from second statement “when 9 is added to the number, the digits will get reversed” you get the equation
(10X+Y) + 9 = 10Y+X.
Solving this gives you.
Y= X+1.
Now put this value of Y into the result of first equation
It becomes
X+1 = 2X
Which gives you
X = 1
And Using this You can get Y= 2
And the no will become 12.
So the answer is 12.
It's simple mathematical of linear equations.
Suppose the digit is (10X+Y) since it's two digit no.
From first statement "A two digit number is 4 times to its sum of digits” you have one equation
(X+Y)*4= 10X+Y
Solving this gives
Y=2X.
Now from second statement “when 9 is added to the number, the digits will get reversed” you get the equation
(10X+Y) + 9 = 10Y+X.
Solving this gives you.
Y= X+1.
Now put this value of Y into the result of first equation
It becomes
X+1 = 2X
Which gives you
X = 1
And Using this You can get Y= 2
And the no will become 12.
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