Respuesta :
Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.
Answer: 7 and 16
Step-by-step explanation:
Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that
x+(3x−5)=23
Solving for x, we find that x=7. So the two numbers are 7,16.