1.

What is the sum of two numbers whose difference is 45, and the quotient of the greater number by the lesser number is 4 ? (a) 100 (b) 90 (c) 80 (d) 75

Answer»

(d) 75

Let the lesser number be x. Then, 

Greater number = x + 45 

Given, \(\frac{X+45}{X}\) = 4 \(\implies\)x + 45 = 4x 

\(\implies\) 3x = 45 \(\implies\) x = 15 

Then, required sum = x + x + 45 = 30 + 45 = 75



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