There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.
1 answer:
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.
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