Basic Simplification Quiz Set 008

Let the score in English be E, then his score in math is 509 - E. We have also been given $(509 - E)/15 = E/13 + 19$. Solving for E, we get E = 104.

This is a multiplication by a number that contains 9 only. Proceed like this: 180 × 99 = 180 × (100 - 1) = 180 × 100 - 180 = 18000 - 180 = 17820.

We know that 2xy = (x² + y²) - (x - y)². Substituting, xy = ${312 - 2^2}/2$ = $308/2$ = 154.

We have to find $43{1/2}$ × ${86/87}$, which can be written as ${87/2}$ × ${86/87}$, which simplifies to 86/2 = Rs. 43.

The minimum value of |4x - 24| is 0. So 4x - 24 = 0, when x = 6.