Question

One number added to three another number is 24. Five times the first number added to three times the other number is 36. Find the number.

Answer 1

Question:

One number added to three times another number is 24. Five times the first number added to three times the other number is 36. Find the numbers.

Answer:

The numbers are 3 and 7

Solution:

Let the first number be "x"

Let the other number be "y"

Given that One number added to three times another number is 24

first number + three times another number = 24

x + 3y = 24 ------- eqn 1

Also given that Five times the first number added to three times the other number is 36

Five times the first number + three times the other number = 36

5x + 3y = 36 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 24 - 3y ----- eqn 3

Substitute eqn 3 in eqn 2

5(24 - 3y) + 3y = 36

120 - 15y + 3y = 36

120 - 12y = 36

12y = 120 - 36

12y = 84

y = 7

From eqn 3,

x = 24 - 3(7)

x = 24 - 21

x = 3

Thus the numbers are 3 and 7