The sum of three numbers is 132. If the ratio of the first to the second is 2:5 and the ratio of the second to the third is 5:4, then the first number is:
24
Given: three numbers add up to 132, with first : second = 2 : 5 and second : third = 5 : 4.
The second number appears as 5 in both ratios, so they combine directly.
Therefore first : second : third = \(2 : 5 : 4\).
The total number of ratio parts is \(2 + 5 + 4 = 11\).
Each part equals \(\frac{132}{11} = 12\).
The first number corresponds to 2 parts: \(2 \times 12 = 24\).
Check: the numbers are 24, 60 and 48, whose sum is \(24 + 60 + 48 = 132\), as required.
Hence the first number is 24.
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