the average of three no. is 6. the average of first two is 5 while the average of last two is 8. the three numbers are
Answers
Answer:
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Step-by-step explanation:
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Answer:
Numbers are 2, 8 and 8
Step-by-step explanation:
let the numbers be x, y and z
average = sum ÷ total numbers
the average of three numbers, (x+y+z) ÷ 3 =6
x+y+z = 6×3
x+y+z = 18............equ.(1)
average of first two numbers, (x+y) ÷ 2 = 5
x+y = 5×2
x+y = 10............equ.(2)
average of last two numbers, (y+z) ÷ 2 = 8
y+z = 8×2
y+z = 16.............equ.(3)
sum of average of first two and last two,[or combing equations 2 and 3]
(x+y) + (y+z) = 10+16
x+2y+z = 26.............equ.(4)
x+ y +z = 18..............equ.(1)
subtracting equations we get,,, 0+y+0 = 26-18
y = 8
substituting value of y in equ.(2),
x+8 = 10
x = 10-8 = 2
substituting value of y in equ.(3)
8+z = 16
z = 16-8 = 8
numbers are x,y,z = 2,8,8
HOPE THIS ANSWER WILL HELP U........