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

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Question 979978: Two numbers are in the ratio 3:5 and their sum is 112. Find the bigger number
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!

You have a proportion

x%2Fy = 3%2F5

and an equation

x + y = 112,

where  x  and  y  are unknown numbers.

From the proportion,  x = %283%2F5%29y.

Substitute it into the second equation.  You will get

%283%2F5%29y + y = 112.

Solve it simplifying step by step:

3y + 5y = 112*5,

8y = 560,

y = 560%2F8 = 70.

Answer.  The greater number is  70.