Two numbers are in a ratio of 7:4. Their sum is 220.

Find the largest number.

Show your reasoning.

7+4 = 11 220/11=20 20x7=140 20x4=80 140+80=220 140:80

Answered by nomnomonedirect | 2024-06-10

So,
You have a total of 11 parts.
The trick in these types of ratio problems is to find the value of *one unit. *
So, 220/11 = 20 *
*Each unit's value is equal to 20.
The larger number is 7 units.
Therefore, 20(7) 20(7) = 140 THE BIGGER NUMBER IS 140
P.S. To find the smaller number, all you have to do is subtract the bigger number from the totatl of the two numbers.
So 220 - 140 = 80
The smaller number is 80. *

Answered by SchwarzschildRadius | 2024-06-10

The largest number in the ratio of 7:4 with a sum of 220 is 140. We find this by letting the numbers be 7x and 4x, solving for x, and then calculating the numbers. Thus, 140 is the larger value compared to 80.
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Answered by nomnomonedirect | 2024-10-15