Question

a number whose 5th part increased by 4 is equal to its 4th part reduced by 10. what is the number?

Answer 1

let x be the number
$x \div 4 - 10 = x \div 5 + 4 \\ x \div 4 - x \div 5 = 14 \\ (5x - 4x) \div 20 = 14 \\ x \div 20 = 14 \\ x = 20 \times 14x = 260$