SOLUTION: Two numbers are in the ratio 3:5 and their sum is 112. Find the bigger number

Question 979978: Two numbers are in the ratio 3:5 and their sum is 112. Find the bigger number
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!

You have a proportion

=

and an equation

x + y = 112,

where x and y are unknown numbers.

From the proportion, x = .

Substitute it into the second equation. You will get

+ = .

Solve it simplifying step by step:

3y + 5y = 112*5,

8y = 560,

y = = .

Answer. The greater number is 70.

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