Question

The sum of two integers is 51. The larger number is 3 more than 5 times the smaller number. Find the value of the larger number

Answer 1

Larger number = 43

Step-by-step explanation:

Let the smaller number be 'x'

Larger number = 5x + 3

Smaller number + larger number = 51

x + 5x + 3 = 51 {Combine the like terms}

6x + 3 = 51 {Subtract 3 from both sides}

6x = 51 - 3

6x = 48 {Divide both sides by 6}

x = 48/6

x = 8

Larger number = 5x + 3

= 5*8 + 3

= 40 + 3

= 43

Answer 2

Larger number = 43

Explanation:

Let the smaller number be 'x'

Larger number = 5x + 3

Smaller number + larger number = 51

x + 5x + 3 = 51 {Combine the like terms}

6x + 3 = 51 {Subtract 3 from both sides}

6x = 51 - 3

6x = 48 {Divide both sides by 6}

x = 48/6

x = 8

Larger number = 5x + 3

= 5*8 + 3

= 40 + 3

= 43