two times a number is greater than 3 times another number by 6. six times the smaller number exceeds three \times the greater by 6.find numbers.
elimination or substituting method
class 8
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Let the tens and the units digits in the number be x and y, respectively.
So, the number may be written as 10x+y.
According to the given condition.
10x+y=6(x+y)+3⇒4x−5y=3
If we interchange the digits of Original number then we get new number. i.e 10y+x
According to the given condition
10y+x+18=10x+y
⇒9x−9y=18⇒x−y=2
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