The sum of two numbers is 18. Three times the greater number exceeds four times the smaller number by 5. Find the numbers.

Question

anonymous · Answer

@texaschic101

anonymous · Answer

i only know that there only 9 different ways to this

texaschic101 · Answer

a + b = 18 --- a = 18 - b
3a = 4b + 5

now we sub
3(18 - b) = 4b + 5
54 - 3b = 4b + 5
54 - 5 = 4b + 3b
49 = 7b
49/7 = b
7 = b

a + b = 18
a + 7 = 18
a = 18 - 7
a = 11

check..
3a = 4b + 5
3(11) = 4(7) + 5
33 = 28 + 5
33 = 33 (correct)

your 2 numbers are : 7 and 11