Find the Difference of the Numbers
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then find the difference of the numbers?
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let nos = x,100-x
lcm=495 hcf=5
495*5=x(100-x)
2475=100x-x^2
x^2-100x+2475=0
x^2-55x-45x+2475=0
x(x-55)-45(x-55)
x=45,x=55
55-45=10
lcm=495 hcf=5
495*5=x(100-x)
2475=100x-x^2
x^2-100x+2475=0
x^2-55x-45x+2475=0
x(x-55)-45(x-55)
x=45,x=55
55-45=10
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