Question

Write an equation to solve each problem and then solve it. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?

Answer 1

let
x------> larger number
y------> smaller number

we know that
x+y=53------> y=53-x-----> equation 1
3y=x+19-----> equation 2

substitute equation 1 in equation 2
3*[53-x]=x+19------> 159-3x=x+19----> 3x+x=159-19-----> 4x=140
x=140/4-----> x=35
y=53-x----> 53-35-----> y=18

the numbers are
35 and 18