The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the twonumbers?

Answer:The Answer is: The first number is 15 and the second one is 7.Step-by-step explanation:Let f = first number and s = second numberThe difference between the two is 8:f - s = 8f = 8 + sTwice the first number plus three times the second number is 51:2f + 3s = 51Substitute:2(8 + s) + 3s = 5116 + 2s + 3s = 5116 + 5s = 515s = 51 - 165s = 35s = 7, the second numberFind f:f = 8 + 7 = 15, the first numberProof: f - s = 815 - 7 = 88 = 8Hope this helps! Have an Awesome Day!! :-)