Question

The least common multiple of two numbers is 60 and one of the numbers is 7 less than the other number.What are the numbers.Justify your answer

this is for my homework if anyone can help me with this id be greatful​

Answer 1

As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 . But Least common multiple of 3 and 10 is 30