The difference of two numbers is 1564. After dividing the larger numb…

Question

The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number?

Accepted Answer

Option D. 309. Answer & Solution Answer: Option D Solution: & Let two numbers = a and b & a > b & a - b = 1564 . . . . . ( i ) & 6b + 19 = a & a - 6b = 19 . . . . . ( ii ) & From equation ( i ) and ( ii ) & a - b = 1564 & a - 6b = 19 & - \,\,\,\,\, + \,\,\,\,\, - & \,\,\,\,\,\,\,5b = 1545\, &…