Question

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

Answer 1

the answer is shown below:

Answer 2

Given : The difference between two numbers is 7. Six times the smaller plus the larger is 77.

To Find : The Number.

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❍Let the small number be "x".

So,the larger number = x + 7.

${ \underline{ \boldsymbol{ \pink{According \: to \: the \: question : }}}}$

$: \implies \sf{6x + (x + 7) = 77}$

$: \implies \sf{6x+x+7=77}$

on simplifying we get

$: \implies \sf{7x+7=77}$

Substracting 7 from both sides,we get

$: \implies \sf{7x+7-7=77-7}$

$: \implies \sf{7x=70}$

Dividing both sides by 7,we get

$: \implies \sf{7x/7=70/7}$

$: \implies \sf{x=10}$

Thus,

The smaller number = x = 10

And the larger number = x + 7 = 10 + 7 = 17

${\underline{\textsf{The \ two \ required \ numbers \ are {\textbf{10 and 17}}}}}$