If the product of two positive numbers be 1575 and their ration is 7 : 9, then the greatest number is :
Options:
A . 45
B . 135
C . 35
D . 63
Answer: Option A Let the numbers are 7x and 9x According to the question, $$\eqalign{ & \Rightarrow 7x \times 9x = 1575 \cr & \Rightarrow 63{x^2} = 1575 \cr & \Rightarrow {x^2} = 25 \cr & \Rightarrow x = 5 \cr} $$ Then greater number = 9x= 9 × 5= 45
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