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The ratio of two numbers is 14:25. If the sum of the two numbers is 390, find the larger number.
Question

The ratio of two numbers is 14:25. If the sum of the two numbers is 390, find the larger number.

A.

140

B.

190

C.

350

D.

250

Correct option is D

Given:
The ratio of two numbers is 14 : 25
Sum of the two numbers = 390
Formula Used:
Value of a part =  SumTotal parts\frac{Sum}{Total\ parts}​​
Solution:
Let the two numbers be 14x and 25x.
According to the problem, the sum of the numbers is 390:
14x + 25x = 390
39x = 390
x = 10
The larger number corresponds to the ratio part 25.
Larger number = 25 × 10 = 250
Final Answer
So the correct answer is (d)

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