The difference between two numbers is 121. Seven times the smaller is equal to 5 more than the larger. What are the numbers?

x(the bigger number) = 142

y(the smaller number) = 21

Step-by-step explanation:

set up the problem

x - y =121

(we know that y is the smaller number because the answer is not negative, therefore the second number has to be smaller.)

7y = x +5

solve for x

x = 7y - 5

insert the new value of x into the equation

7y - 5 - y = 121

solve for y

6y - 5 = 121

6y = 126

y = 21

substitute the new value of y into the original equation

x - 21 = 121

solve for x

x = 142

hope this helped! lmk if you have any questions :)

have a wonderful day <3

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for