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(52780)
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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.