Question

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.​

Answer 1

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