Pam says she will charge 125 plus 15 an hour to paint a house. Michelle will charge $50 plus $20 per hour to paint a house. Afte
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<u>Answer:</u>
Only (B) is correct.
<u>Step-by-step explanation:</u>
Let, if the numbers in 2nd column are added , the sum is same as the sum of numbers in the 1st column and obviously all are integers and the sum is,
(33 + 58 +17) =108---------(1)
Now , let the 3 numbers in 2nd column are,
1.
2.
and
3.
So, the sum of the digits of the numbers in the 2nd colum are,
( a + b +c +d +e +f +g +h + i) -------------(2)
Now, c +f +i = 8 or 18 (since the last digit is 8 and 0 ≤ c + f +i ≤ 27)
Now,
sum of the numbers in 2nd column,
=
= -----------(3)
or = -------------(4)
or = -----------(5)
it must fall in one of above 3 forms i.e., (3) or (4) or (5)
in case (3),
(a + b + c + d + e + f + g + h + i) = (1 +8) = 9 ---- (6)
in case (4)
(a + b + c + d + e + f + g + h + i) = (10+8) = 18 and (1 + 8) =9 ---------(7)
in case (5)
(a + b + c + d + e + f + g + h + i) = (9 + 18) = 27 and 2 + 7 = 9 -------(8)
So, when the sum of numbers in the 2nd column is equal to the sum of numbers in the 1st column, the sum of digits of the numbers in the 2nd column will be 9.
So, when the sum of digits of the numbers in the 2nd column is not 9, the sum of those numbers won't be equal to the sum of numbers in the 1st column.
So, only (B) is correct.
[Note , that (C) is false. e.g. when the numbers in 2nd column is 6 , 1 and 2, then (6 +1 +2) = 9 ≠ 108 .]