45.6k views
4 votes
digit at tens place of two digit number is twice the digit at units place .if sum of this number and the no.formed by reversing the digit is 66,. find the number

User Arik Segal
by
8.1k points

1 Answer

5 votes
Let the number be xy ,

xy = 10x + y. when reversed = yx = 10y + x

x = 2y ........(a)

10x + y + 10y + x = 66.........(b)

10(2y) + y + 10y + 2y = 66

20y + y + 10y + 2y = 66

33y = 66

y = 66/33

y = 2

x = 2y = 2*2 = 4

Recall the original number is xy = 42.
User Prakash Raman
by
8.9k points