Answer: 24 and 37
Step-by-step explanation:
Let the numbers be x and y . Also let us pick x as the larger number.
From the first statement :
x + y = 61 ............................ equation 1
From the second statement :
x = y + 13 ............................equation 2
Solving the resulting linear equations by substitution method, substitute x = y + 13 into equation 1, then
x + y = 61 becomes
y + 13 + y = 61
2y + 13 = 61
2y = 48
y = 24
Substitute y = 24 into equation 2 , then
x = y + 3 becomes
x = 24 + 13
x = 37
Therefore the numbers are 24 and 37
