Tips and Tricks on Arithmetic


 


1
Largest number which divides x, y, z to leave same remainder a, b, c = H. C. F. of x-a, y-b, z-c.



2
Largest number which divides x, y, z to leave remainder R (i.e. same) = H.C.F. of x-R, y-R, z-R.



   3
Consider the letter y to represent the age of a person.
(a) If the current age is, y then n times the age = ny.
(b) If the current age is y, then age n years later = y + n.
(c) If the current age is y, then age n years ago = y - n.
(d) The ages in a ratio a: b will be ay and by.
(e) If current age is y, then 1/n of the age is y/n.


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