Question
Sum of three positive numbers is 144. If the ratio of
the first and second number is 3:5, respectively while difference between the first and third number is equal to the second number, then find the third number.Solution
Let the first number be '3x' So, second number = 3x × (5/3) = '5x' And, third number = 3x + 5x = '8x' ATQ: 3x + 5x + 8x = 144 Or, 16x = 144 So, x = 9 So, third number = 8 × 9 = 72
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If a + b + c = 6, a³ + b³ + c³-3abc = 342, then what is the value of ab + bc + ca
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