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Answer and Explanations

SAURABH KUMAR

Let two numbers are a and b

so A/C to Qn

a^2 + b^2 = 164.......(i)

and LCM x HCF = a x b, So, a x b = 2x40.......(ii)

so, equation (i) can be written as

(a+b)^2-2ab = 164

=>(a+b)^2-2(2x40) = 164 from (ii)

=>(a+b)^2 = 164 + 160 =>324

=>(a+b) = 18.........(iii)

from (ii) and (iii)

a = 8

b = 10

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