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OJASWI KOTHARI

· started a discussion

· 1 Months ago

? (Question: 336936.0 )

how?

Question:

If a(a + b + c) = 45, b(a + b + c) = 75 and     c(a + b + c) = 105, then what is the value of (a2 + b2 + c2)?

Options:
A)

75

B)

83

C)

217

D)

225

Solution:

Ans: (b)


hemanth

· commented

· 1 Months ago

a=45/(a+b+c) , b= 75/(a+b+c), c=105/(a+b+c)

add them

a+b+c = (45+75+105)/(a+b+c)

a+b+c = 225/(a+b+c)

(a+b+c)^2 = 225

a+b+c = 15

we have ,

a=45/(a+b+c) , b= 75/(a+b+c), c=105/(a+b+c)

so we get a = 3 , b = 5 , c = 7

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