The sum of two numbers is 15 less than twice the first number. Their difference is 5 less than twice the second number.

Find the numbers.

2 n − 15 = 5 − 2 n
4 n = 20
4 4 n ​ = 4 20 ​
n = 5
The number is 5

Answered by Edmund | 2024-06-10

x --- first number y --- second number
x + y = 2x - 15 x - y = 2y - 5
x - 2x + y = -15 x - y - 2y = - 5
-x + y = -15 x - 3y = - 5
-2y = -20 /:(-2) y = 10
x - 3y = - 5 ⇒ x = - 5 + 3y = - 5 + 3 · 10 = - 5 + 30 = 25
Ans.: x = 25 y = 10

Answered by kate200468 | 2024-06-24

The two numbers are 25 and 10. This was determined by setting up and solving two algebraic equations based on the problem's description. The solution involves isolating the variables and using substitution to find the values of the unknowns.
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Answered by kate200468 | 2024-10-14