152 is divided into three parts such that one-fifth of the first part, one-third of the second part and one-eleventh of the third part are equal. What is the sum of the second and the third part?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 112
Given:
152 is divided into three parts such that one-fifth of the first part, one-third of the second part and one-eleventh of the third part are equal
Calculations:
Let the three parts be x, y and z
According to the question;
⇒ x/5 = y/3 = z/11 = k
⇒ x = 5k, y = 3k and z = 11k
⇒ 5k + 3k + 11k = 152
⇒ 19k = 152
⇒ k = 8
Required sum of the second and third part = 3k + 11k
⇒ 14k = 14 × 8 = 112