Question

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

Answer 1

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