the sum of two numbers is 158. if we add 25 to each one of them , then the first become triple of the the other. what are these numbers

Question

the sum of two numbers is 158. if we add 25 to each one of them , then the first become triple of the the other. what are these numbers

Answer 1

The first equation is

x+y=158

Subtract y from both sides to get

x=158-y

The second equation is

x+25=3(y+25)

Substitute the first equation into the second

158-y+25=3(y+25)

183-y=3y+75

Add y to both sides

183=4y+75

Subtract 75 from both sides

108=4y

Divide by 4

y=27

Since x=158-y=158-27

x=131