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the sum of 3 whole numbers A,B & C
is 69.Suppose that A is 20 percent more than B while B is 20 percent less than C .Find the value of C

Sagot :

Step-by-step explanation:

Let's denote the value of B as x. According to the information provided:

1. A is 20% more than B:

A = x + 0.20x = 1.20x

2. B is 20% less than C:

B = C - 0.20C = 0.80C

Given that the sum of A, B, and C is 69, we can express this as an equation:

A + B + C = 69

1.20x + 0.80C + C = 69

1.20x + 1.80C = 69

Since A is 20% more than B, we can express A in terms of C:

1.20x = 1.20(0.80C) = 0.96C

Substitute 0.96C for 1.20x in the equation:

0.96C + 1.80C = 69

2.76C = 69

C = 69 / 2.76

C = 25

Therefore, the value of C is 25.

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