Question

The sum of two numbers is 240, if 65% of one numbers, i.e equal to 85% of the other. Find the numbers

Answer 1

Answer:

The two numbers are 136 and 104

Step-by-step explanation:

Let the numbers be x and y.

Given, x + y = 240

i.e. x = 240 - y ----- Eq 1

and 0.65 * x = 0.85 * y ----- Eq 2

Substituting Eq 1 in Eq 2,

0.65 * (240 - y) = 0.85 * y

156 - 0.65 * y = 0.85 * y

156 = (0.85 * y ) + (0.65 * y )

156 = 1.5 * y

y = 156 / 1.5 = 104

Substituting y = 104 in Eq 1

x = 240 - 104 = 136