The LCM of two numbers is 360, and their HCF is 15. If one of the numbers is 45, what is the value of the remainder when the other number is divided by 7?
let the second number be x.
We know that LCM*HCF = Product of the two numbers
So 360*15 = x *45
=> x = $$\frac{360*15}{45}$$
=> x = 120
Now 120 on being divided by 7, leaves a remainder of 1.
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