The bigger of 2 numbers in 5 larger than the smaller. Twice the smaller, increased by, twice the lar

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The bigger of 2 numbers in 5 larger than the smaller. Twice the smaller, increased by, twice the larger, is equal to 50. Find each number.

Let the big number be b. Let the small number be s. We're given two equations:

1. b = s + 5
2. 2s + 2b = 50

Substitute equation (1) into equation (2)
2s + 2(s + 5) = 50

Type this equation into our search engine, and we get:
s = 10

Now substitute s = 10 into equation (1) to solve for b:
b = 10 + 5
b = 15