Question

the difference between two numbers is 7. six times the smaller plus the larger is 77. find the numbers​

Answer 1

Answer:

Step-by-step explanation:

Follow this procedure to find the two numbers:-

First,let the smaller number be x and greater number be y

So, according to the question,

y - x = 7 …………..let this be condition 1

And,

6x + y = 77 …………..let this be condition 2

So, now multiplying condition 1 by 6 and condition 2 by 1 and adding them , we get-

6y - 6x + 6x + y = 77 + 7

=> 7y = 84

=> y = 12

Now substituting the value of y in condition 1 , we get -

12 - x = 7

=> x = 12 - 7

=> x = 5

So, the greater number (y) is 12 and the smaller number (x) is 5

Hope this answer will help you…..

Answer 2

Answer:

x = 119/12

y = 35/12

Step-by-step explanation:

let the two numbers be X and Y

acc to question,

X - Y = 7

x = 7 + y ---- A

6(X + Y) = 77

6x + 6y = 77

substituting A's value

6(7 + y) + 6y = 77

42 + 6y + 6y =77

12y = 35

y = 35/12

x = 7 + y

x = 7 + 35/12

x = 84 + 35/12

x = 119/12