Math, asked by js7674590, 5 hours ago

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

Answered by Vedansh314
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)

Answered by legend5662
2

Answer:

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