There are two numbers, which sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers

Let "n" be the smaller number, then

the larger number = 3n-19

n + 3n - 19 = 53

4n = 53 + 19

4n = 72

n = 72/4

n = 18 ← smaller number

larger number = 53 - 18 = 35

Answer: 18 and 35.

X + y = 53.

Let x be the smaller number; then it'll be 3x = 19 + y

Set the first equation equal to x, then substitute the values and solve.

x + y = 53.

x = 53 - y.

3 (53 - y) = 19 + y

x = 18; y = 35

140 - y = y

y = 70.

53 - 70 = - 17

x = - 17; y = 70.

-17 + 70 = 53;