Problema Solution

How many positive integers less than 1000 are multiples of 5 and are equal to 3 times an even integer?

PS : Please! provide the most efficient process.

Answer provided by our tutors

Every number that is multiple of 5 and is equal to 3 times an even integer can be written as:


5*3*2*x, where x is integer, x>0


The number need to be less than 1000:


30x <= 1000 divide both sides by 30


x <= 1000/30


x <= 33.33


x < 34


For every integer x that is smaller then 34 the numbers 30x satisfy the given condition. Thus there are 33 such numbers.