Question

1) The sum of two numbers is 450. If first number is greater than the second number by 50 Find out the both numbers.

2) The sum of two numbers is 450. If first number is less than the second number by 50 Find out the both numbers.

3) The sum of two numbers is 200. If first number is greater than the second number by 50 Find out the First number.​

Answer 1

Solution:

1. Let x be the first number.
Let x + 50 be the second number.

(x) + (x + 50) = 450

x + x + 50 = 450

2x + 50 = 450

2x = 450 - 50

2x = 400

x = 200

Therefore:

x = 200

x + 50 = 250

2. Let x be the first number.
Let x - 50 be the second number.

(x) + (x - 50) = 450

x + x - 50 = 450

2x - 50 = 450

2x = 450 + 50

2x = 500

x = 250

Therefore,

x = 250

x - 50 = 200

3. Let x be the first number.
Let x + 50 be the second number.

(x) + (x + 50) = 200

x + x + 50 = 200

2x + 50 = 200

2x = 200 - 50

2x = 150

x = 75

Therefore:

x = 75

x + 50 = 125

Hope it will help.