The sum of three numbers is 24 The largest number exceeds the smallest number by 4 The second number is half of the sum of the largest number and the smallest number. Find all the three numbers.
(a) 11 , 10 , 9
(b) 10 , 8 , 6
(c) 4 , 5 , 6
(d) 7 , 8 , 9
Answers
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2
Answer:
(B)10, 8, 6
Step-by-step explanation:
The 3 linear equation that we can get from the question are
here: x = largest no, y = middle no and z = smalles number
x + y + z = 24 (1)
x = z + 4 (2)
2y = x + z (3)
by substituting eq (2) in eq (1) And (3) we will get,
two pair of linear equation of z AND y which are
2z + y = 20
y = z + 2
by solving these two equations we get,
z = 6 and y = 8
(If you want you can solve x by substituting these values in the original equation but these two values are enough to determine that option (B) is the correct answer)
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