Question

The sum of two numbers is 35. The first number minus twice the second number is 8. Find the two numbers

Answer 1

The first number is 26

the second number is 9

Explanation:

If x represent the first number.

Since the sum of the numbers is 35, the second number is 35-x.

Then the relation between the two numbers is by the equation :

• x - 2(35-x) = 8
• 3x -70 = 8 . . . . simplify
• 3x = 78 . . . . . . . and by add 70
• x = 26 . . . . . .and divide by 3 . . . this is the first number
• 35-x = 9 . . . . the second number
• The first number is 26
• the second number is 9

Answer 2

the first number is 26

the second number is 9

Explanation:

given the first number is x and the second number is y

then x + y = 35

x - 2y = 8 => x = 2y + 8

substitute 2 equations

(2y + 8) + y = 35

3y = 35 - 8

3y = 27

y = 27/3 = 9

x = 35 - y = 35 - 9 = 26