Question

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

Answer 1

Answer:

let lager no be X

smaller be y

so..

x-y=7..(i)

X=7+y

6y+X=77..(ii)

6y+7+y=77

7y=70

y=70/7

y=10

X=7+y

X=7+10

X=17

Y=10 X=17

Answer 2

Answer:

The numbers are 10 and 17.

Step-by-step explanation:

Let the smaller number be x.

∴ Larger number = x + 7 [∵ The difference is 7]

Now, according to the question,

6 (x) + (x+7) = 77

6x + x + 7 = 77

7x = 77 - 7

7x = 70

x = 70/7

∴ x = 10

∴ x + 7 = 10 + 7 = 17

Therefore, the smaller number is 10 and the larger number is 17.

Hope it helps!!!