Question

find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times the second by 2​

Answer 1

Answer:

First number = 25

Second number  = 14

Step-by-step explanation:

Let the numbers be x & y

The sum of twice the first and thrice the second is 92

2x + 3y = 92   -------------------(I)

Four times the first exceeds seven times the second by 2​

4x - 7y = 2  --------------------(II)

Multiply  equation (I) by -2 and then add the equations

(I)*-2          -4x - 6y = -184

(II)               4x - 7y = 2      { Now add, thus x will be eliminated}

                      - 13y = -182 {Divide both sides by -13}

y = -182/-13

y = 14

Plugin the value of y in equation (I)

2x + 3*14 = 92

2x + 42 = 92

       2x = 92 - 42

       2x = 50

        x  = 50/2

x = 25

First number = 25

Second number  = 14