GIVEN:The SUM of two numbers is 1000.40% of one number is equal to 60% of the other.Calculation:Let the two number be x, y.The sum of two numbers is 1000.⇒ x + y = 1000 ..... (i)40% of one number is equal to 60% of the other.⇒ 40/100 × x = 60/100 × y⇒ 2x = 3y⇒ x = 3y/2Putting the value of x in equation (i)⇒ 3y/2 + y = 1000⇒ 5y/2 = 1000⇒ y = 400Then, x = 3 × 400/2 = 600∴ The numbers are 600 and 400.Let the first number be x.The second number = (1000 - x)40% of one number is equal to 60% of the other.⇒ 40/100 × x = 60/100 × (1000 - x)⇒ 2x = 3(1000 - x)⇒ 2x = 3000 - 3x⇒ 5X = 3000⇒ x = 600The second number = 1000 - 600 = 400∴ The numbers are 600 and 400.