1.

If the product of two numbers is 320 and their ratio 1:5, then the sum of these two numbers is(a) 42 (b) 48(c) 44 (d) 40

Answer»

Let the NUMBERS are ( x ) and ( 5x )

Given, their product = 320

x × 5x = 320

\rightarrow5 {x}^{2} = 320 \\ \\ \rightarrow \: {x}^{2} = \frac{320}{5} \\ \\ \rightarrow {x}^{2} = 64 \\ \\ x = 8 \: \: or \: \: - 8

SUM of numbers [ taking NEGATIVE values ]

x + 5x
=> ( - 8 ) + 5( - 8 )
=> -48

Sum of numbers [ taking positive values ]

=> x + 5x
=> 8 + 5(8)
=> 48





Neglect negative value, their sum = 48



Option ( B ) is correct


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