Maths

Algebra Level 2

For every positive 2-digit number, x x , with tens digit t t and units digit u u , let y y be the 2-digit number formed by reversing the digits of x x . Which of the following expressions is equivalent to x − y x-y ?

F. 9 ( t − u ) 9(t-u)
G. 9 ( u − t ) 9(u-t)
H. 9 t − u 9t - u
J. 9 u − t 9u - t
K. 0

J K H F G

Anshuman Das by Anshuman Das , 19, India

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1 solution

Harshendu Mahto
Jan 17, 2016

According to Question,

x = 10t + u

and therefore,

y = 10u + t

So,

x - y

= (10t + u) - (10u + t)

= 10t + u - 10u - t

= 9t - 9u

= 9(t - u) [ Taking 9 as common ]

Thus,

x - y = 9(t - u)

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