The difference 9

The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers.

Final Answer:

x =  225

Step-by-step explanation:

a−b=20 a⋅ b=56.25⋅ 20=1125  a⋅ (a−20)=56.25⋅ 20  a⋅ (a−20)=56.25⋅ 20 a2−20a−1125=0  p=1;q=−20;r=−1125 D=q2−4pr=202−4⋅1⋅(−1125)=4900 D>0  a1,2​=2p−q±D​​=220±4900​​ a1,2​=220±70​ a1,2​=10±35 a1​=45 a2​=−25  a=a1​=45 b=a−20=45−20=25  45=32⋅5 25=52 LCM(45,25)=32⋅52=225  x=LCM(a,b)=LCM(45,25)=225

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