Question

The difference between two numbers is 7 .Six times the smaller number plus the larger number is 77. Find the number​

Answer 1

Step-by-step explanation:

let the larger number = x

and smaller number = y

x - y = 7 ------------(1)

6y + x = 77

x + 6y = 77 ----------(2)

subtract eq 1 and 2

x - y = 7

x + 6y = 77

- - -

-7y = -70

7y = 70

y = 70/7

y = 10

put y in eq 1

x - y = 7

x - 7 = 7

x = 7 + 7

x = 14

Answer 2

Answer:

Step-by-step explanation:

Let x be the larger number and y be the smaller number.

Therefore, by the first condition,

x-y= 7......................'1'

By the second condition,

x+6y=77.................'2'

By subtracting '1' from '2',

x+6y=77

x -y=7

...............

7y=70

Therefore, y=10

Substituting y=10 in '1'

x-y=7

x-10=7

x=7+10

x=17

Therefore, smaller number is 10 and bigger number is 17