The difference of two numbers is 1465. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?  Choices:  A) 270  B) 280  C) 290  D) 300  E) 310

Rationale: "let the smaller number be x . then larger number = ( x + 1465 ) . x + 1465 = 6 x + 15 5 x = 1450 x = 290 smaller number = 290 . c )"
Answer: C