Question

Find the number which when increased by 5/8% becomes 1610.​

Answer 1

Let the +ve number be x.

According to question,

x+5=50/x

x2 + 5x = 50

x2 + 5x - 50 = 0

x2 + 10x - 5x - 50 = 0

x(x+10) - 5(x+10) = 0

(x-5) (x+10) = 0

(x-5) = 0 ; (x+10) = 0

x= 5 or x= -10

Value of x cannot be -10 as it is given in question that the number is positive, so the required positive number is 5.