The two number are 39 and 13
Solution:
Let the two numbers be "a" and "b"
Let the larger number be "a" and the smaller number be "b"
Given that, sum of two numbers is 52
a + b = 52 ---------- eqn 1
One number is 3 times as large as the other number
Larger number = 3 times smaller number
a = 3b -------- eqn 2
Let us solve eqn 1and eqn 2
Substitute eqn 2 in eqn 1
3b + b = 52
4b = 52
b = 13
Substitute b = 13 in eqn 2
a = 3(13)
a = 39
Thus the two number are 39 and 13