the difference of two number is 1 by 9 of their sumsum of their number is 45 find their hcf
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Let the two numbers be x, y.
x + y = 45 ---> EQ1.
x - y = 1/9(45)
x - y = 5 ---> EQ2.
Solve the two equations.
2x = 50
x = 25
Put x = 25 in EQ1.
25 + y = 45
y = 20
So, the two numbers are 20, 25 and their LCM is 100.
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