Question

Four-fifths of a number exceeds two-thirds of the number by 10 what is the number

Answer 1

Four-fifths of a number exceeds two-thirds of the number by 10. The number is 75

Solution:

Let the number be "x"

Given that,

Four-fifths of a number exceeds two-thirds of the number by 10

Here, "exceed" means that more than or addition

Therefore, we can say,

Four-fifths of a number = two-thirds of the number + 10

Writing it mathematically we get,

`(4)/(5) * x = (2)/(3) * x + 10\\\\(4x)/(5) = (2x)/(3) + 10\\\\\text{Move the variables to one side of equation }\\\\(4x)/(5) - (2x)/(3) = 10\\\\\text{Solve the above equation }\\\\(4x * 3)/(5 * 3) -(2x * 5)/(3 * 5) = 10\\\\(12x-10x)/(15) = 10\\\\2x = 150\\\\\text{Divide both sides of equation by 2}\\\\x = 75`

Thus the number is 75