Find two 2

Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same.

Correct answer:

a =  5.349
b =  6.138

Step-by-step explanation:

4.56 < a < b < 6.927 4.56 < 4.56+d < 4.56+2d < 6.927 = 4.56+3d  d=(6.927−4.56)/3=1000789​=0.789  a=4.56+d=4.56+0.789=5.349   Verifying Solution:   x−4.56=y−x 6.927−y=y−x  2x−y=4.56 x−2y=−6.927  Row2−21​⋅ Row1→Row2 2x−y=4.56 −1.5y=−9.21  y=−1.5−9.207​=6.138 x=24.56+y​=24.56+6.138​=5.349  x=5.349 y=5003069​=6.138
b=a+d=5.349+0.789=6.138

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