Question

(HELP ASAP PLEASE)

There are two mystery numbers. The sum of 9 times the first number and 4 times the second number is 26. The sum of 3 times the first number and 4 times the second number is 14. What are the two numbers?

The first number is ___ and the second number is ___ .

Answer 1

first number is 2, second number is 2

Explanation:

If the first number is 'a' and second number is 'b'. We can use simultaneous equations

9a + 4b = 26

3a + 4b = 14

therefore by taking the second equation from the first

6a = 12

a = 2 (first number)

as a = 2

(3 x 2) + 4b = 14

6 + 4b = 14

4b = 8

b = 2 (second number)