Two positive numbers difference by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is

A) 1558

B) 1458

C) 1585

D) 1485

Detailed solution : {The above question had appeared in the CGL Mains 2020 }

Let the greatest number = x

Let the smallest number = y

x = 7y + 50

x – 7y = 50

x-y = 1280

By solving the above equations, we get

-6y = -1230

y = 205

x = 7×205+50

x = 1485

ANSWER : D) 1485