There are two numbers 39 x 39 and 39 y 39 40 of 39 x 39 is equal to 60 of 39 y 39 If the average of ...........

Quantitative Aptitude (MTS) Percentage

There are two numbers 'x' and 'y'. 40% of 'x' is equal to 60% of 'y'. If the average of 'x' and 'y' is 225, then what is the difference

between 'x' and 'y'?

This questions was previously asked in

SSC MTS 7th July 2022 Shift-1

- We start with the equation: 40% of 'x' = 60% of 'y', which simplifies to 2x = 3y.

- The average of 'x' and 'y' is 225, so (x + y) / 2 = 225. It simplifies to x + y = 450.

- From 2x = 3y, we get x = (3/2)y.

- Substituting x = (3/2)y into x + y = 450, results in (3/2)y + y = 450.

- This equation simplifies to (5/2)y = 450.

- Solving for 'y', we find y = 180.

- Substituting y = 180 in x = (3/2)y, we get x = 270.

- The difference between 'x' and 'y' is 270 - 180 = 90.

The Correct Answer is Option: 4 - 90.

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