Two positive numbers differ by 1280. When the greater number is divided by thesmaller number, the quotient is 7 and the remainder is 50. The greater number is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1485
Concept
Dividend = Quotient × divisor + remainder
Application
Let the greater number = x
The smaller number = y
According to question
Smaller number = b
From question,
x - y = 1280
We know that, Dividend = Quotient × divisor + remainder
x = 7y + 50
Equating x, we get
7y + 50 - y = 1280
6y = 1280 - 50
6y = 1230
y = (1230/6)
y = 205
Put the value of y
x - 205 = 1280
x = 1485
Greater number = 1485