Question

The sum of two numbers is 26. The first number is two more than 5 times the second number. What are

the two numbers? Define your variables. Write two equations and then solve. Be sure to write your
answer in a complete sentence!

Answer 1

Let us assume the two numbers be x and y

From the above condition we can write, x + y = 26 equation 1

second condition first no x = 2 more 5 times of the second no. that is 5y + 2

then we can write, x = 5y + 2..... eqation (2)

from equation 1 x + y = 26

subtracting y from each side , x+ y - y = 26 - y

x = 26 - y

plugging this value of x in eqn. no (2 ) we get,

26-y = 5y + 2

subtracting 5y on both sides,

26 - y - 5y = 5y - 5y + 2

26 - 6y = 2

subtracting 26 from both sides,

26 -26 -6y = 2- 26

-6y = -24

eliminating minus sign from both sides,

6y = 24

dividing by 6 on both sides,

y = 24/6 = 4

substituting this value of y in equation 1 we get,

x + 4 = 26

subtracting 4 from both sides,

x = 26- 4 = 22

Explanation:

so we solve the 2 eqns we get x = 22 and y = 4

the two numbers will be 22 and 4