Question

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

Answer 1

Answer:

➡️ 10 and 17

Step-by-step explanation:

Difference between two nos is 7.

➡️ So let one no be x. Then other no = x+7.

Now

➡️ Six times the smaller = 6x

➡️ Six times the smaller plus the larger = 77

6x + x + 7 = 77

7x + 7 = 77

7x = 70

x = 10

Smaller no = 10

Larger no = x + 7 = 10 + 7 = 17

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Assumption,

Smaller number be t

Also,

Larger number be p

Now,

First situation :-

p - t = 7

p = 7 + t ............ (1)

Also,

Second Case :-

6t + p = 77 ............... (2)

Substitute the value of p in (2), we get,

6t + 7 + t = 77

7t + 7 = 77

7t = 77 - 7

7t = 70

t = 70/7

t = 10

Therefore,

Smaller number = 10

Now,

Substitute the value of t in (1)

p = 7 + t

p = 7 + 10

p = 17

Hence,

Larger number = 17