The ratio of two numbers is 9 : 5. If 8 is added to the largest number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number. The larger number is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 144.
The ratio of the two numbers is 9 : 5
If 8 is added to the larger number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number.
Let the numbers 9H and 5H respectively.
According to the question -
(9H + 8) = 2 × (5H - 4)
9H + 8 = 10H - 8
10H - 9H = 8 + 8
H = 16
The larger number = 16(9) = 144