Question
Download Solution PDFIf three numbers are in the ratio of 3: 5: 7 and twice their sum is 60, find the square of the largest of the three numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of three numbers is 3: 5: 7.
Twice their sum is 60.
Calculation:
Let the three numbers be 3x, 5x, and 7x.
The sum of the three numbers is 3x + 5x + 7x = 15x.
Twice their sum is given as 60:
2 × (15x) = 60
30x = 60
x = 60 / 30 = 2
The three numbers:
First number = 3x = 3 × 2 = 6
Second number = 5x = 5 × 2 = 10
Third number = 7x = 7 × 2 = 14
The largest of the three numbers is 14.
Square of the largest number = (14)2 = 14 × 14 = 196
∴ The square of the largest of the three numbers is 196.
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