amount they have is . Find the amount each one has .
12. The difference between squares of two nurnbers is 120. The square of smalle
number is twice the greater number. Find the numbers.
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hey here is your answer
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Step-by-step explanation:
so let the greater number be x and smaller number be y
so according to first condition
x square-y square=120 (1)
according to the second condition
y square=2x (2)
so x square-2x=120 from (1) and (2)
ie x square-2x-120=0
ie x square-12x+10x-120=0
so x(x-12)+10(x-12)=0
ie (x-12)(x+10)=0
ie x=12 or x=-10
but as it is said that two numbers are positive numbers x=-10 is absurd
therefore x=12
substituting value of x in (2)
we get y=root 24
hence the two numbers are 12 and root 24
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