One number is 10 more than the other. Find these numbers knowing that their sum is 80.
| March 2, 2021 | education
Let’s compose a system of equations according to the problem conditions
1) x = y + 10.
2) x + y = 80.
Substitute the first equation into the second.
y + 10 + y = 80.
2 * y = 80 – 10.
2 * y = 70.
y = 35.
Substitute the y value in the first equation.
x = 35 + 10.
x = 45.
Answer: these numbers are 45 and 35.
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