Question

The sum of two numbers is 52. One number is 3 times as large as the other number. Which is the larger number

Answer 1

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