Question

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

Answer 1

Let the larger no. be x and the smaller one be x-7
Then,
6(x-7) +x = 77 ...(given)
⇒6x - 42 +x = 77
⇒7x- 42 = 77

i.e x= 17 

Now putting the value of x in given equation, we get
i.e x-7=y
⇒y = 17-7
⇒y = 10

Answer 2

Answer:

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

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