Ex.2. The sum of two numbers is 45....
Question

# Ex.2. The sum of two numbers is 45. Their difference is of their sum. Their L.C.M. is (1) 200 (2) 250 (3) 100 (4) 150

11th - 12th Class
Maths
Solution
133
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Sol. (3) Let the number be ( x ) and ( y ). According to the question, ( therefore x+y=45 ldots ldots ldots ) (i) Again, ( x-y=frac{1}{9}(x+y) ) or, ( x-y=frac{1}{9} times 45 ) or, ( x-y-5 ldots ldots ) (ii) By ( (i)+ ) (ii) we have, ( x+y=45 ) ( frac{x-y=5}{2 x}=5 ) or, ( x=25 ) ( therefore y=45-25=20 ) Now, LCM of 25 and ( 20=100 ). .