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Two numbers are in the ratio 7:5. If their positive difference is 360, then the greater number between them is:
1260
1040
900
1500
1260
Since the ratio difference (7-5=2) corresponds to 360, 1 part is 180. The greater number is 7 parts, so 7├Ч180=1260.
Ratio of two numbers is 7 : 5. Positive difference between the numbers is 360.
7xтИТ5x=360
Since the ratio difference (7-5=2) corresponds to 360, 1 part is 180. The greater number is 7 parts, so 7├Ч180=1260.
Students often calculate the smaller number (5├Ч180=900) instead of the greater one, or confuse the difference with the sum.
Define variables
Let the two numbers be 7x and 5x.
7x,5x
Set up the equation
The positive difference is given as 360, so we write the equation: 7xтИТ5x=360.
7xтИТ5x=360
Solve for x
Subtract the terms: 2x=360. Dividing by 2, we get x=180.
x=180
Calculate the greater number
The greater number is 7x. Substituting the value of x: 7├Ч180=1260.
7├Ч180=1260
A is correct because the difference of 2 parts is 360, making one part 180, and the greater number 7 parts equal to 1260.
This concept of 'parts' in ratios is fundamental for Profit & Loss and Partnership problems in quantitative aptitude.
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