Question

the larger of the 2 numbers is 11 more than twice the smaller number. the sum of the numbers is 1 less than 7 times the smaller number. Find the numbers.

Answer 1

Explanation:

the numbers : x, y

x = 11 + 2y

x + y = 7y - 1

we use the first equation in the second :

11 + 2y + y = 7y - 1

12 + 3y = 7y

12 = 4y

y = 3

x = 11 + 2y = 11 + 2×3 = 11 + 6 = 17