In A two digit number the digit in the unit place is 2 more then three time the digit in the tens place if the sum of the digit is 6 the number is
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Answer:
The number is 15.
Step-by-step explanation:
Let the digit in the unit's place be x
and the digit in the ten's place be y
Therefore the number will be 10y + x
According to the conditions of the question,
x = 2 + 3y --(i)
and x + y = 6 --(ii)
Therefore, on solving equation (i) and (ii), we get,
x = 2 + 3y and x = 6 - y
On equating, we get,
2 + 3y = 6 - y
=> 3y + y = 6 - 2
=> 4y = 4
=> y = 4/4 = 1
=> y = 1
As x = 6 - y
=> x = 6 - 1
=> x = 5
Therefore, as the number was 10y + x
=> The number = 10*1 + 5
= 10 + 5
= 15
Therefore, the number is 15.
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