Divide 25 into two parts such that 6 times the larger part added to 4 times the smaller part is equal to 130. Find the larger part.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 15.
Let the larger part be x and the smaller part be y
According to the question
x + y = 25
⇒ y = 25 - x....(1)
6x + 4y = 130
From equation 1
⇒ 6x + 4(25 - x) = 130
⇒ 6x + 100 - 4x = 130
⇒ 2x = 30
⇒ x = 15
Thus, the largest part is 15