Express the HCF of 468 and 222 as `468 x+222 y` where `x ,\ y` are integers in two different ways.

The number of pairs (x, y) where x,y are integers satisfying the equation 21x + 48y = 5 is

If (x-1)^2+(y-2)^2=0 , where x and y are integers, then the value of 2x+3y is :

Find the HCF of 65 and 117 and express it in the form 65x+117y.

If x^yxxy^x=800 , then find x-y (where x and y are positive integers and xgt y ).

The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x le y .

If two positive integers a and b can be expressed as a=x^(2) y^(5) and b=x^(3) y^(2), where x,y are prime numbers, then find LCM of a and b .

Write the expression for the difference of x and y is divided by 4, where x is greater than y'.