A number 37 is divided into two parts such that 5 times one part and 11 times the other is together equal to 227. Find the value of 9 times the smaller number.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 63.
Let the greater number be x and the smaller be (37 - x)
According to the question;
⇒ 5x + 11(37 - x) = 227
⇒ 5x + 407 - 11x = 227
⇒ 6x = 180
⇒ x = 30
Smaller number = 37 - x = 37 - 30 = 7
Hence, 9 times the smaller number = 9 × 7 = 63