LCM of two numbers is 495 and HCF is 5. Sum of both numbers is 100. Find the smaller number.
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Step-by-step explanation:
let smaller number is a
let bigger number is b
a+b=100
a=100-b.....(1)
LCM * HCF=a*b
495*5=(100-b) b
2475=100b-b^2
b^2-100b+2475=0
(b-45)(b-55)=0
b=45,55
on putting value of b=45 in equation (1)
a=-55
on putting value of b=55 in equation (1)
a=-45
smaller number is -55 and -45
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