Question

one number is 6 more than other number also 7 times the smaller number is equal to 6 times the larger number find the two numbers

Answer 1

Hey there mate
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The correct answer is
smaller --x
larger --x+6

7x = 6(x+6)
7x = 6x + 36
x = 36
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Hope this helps you

Answer 2

$hi \: \: friend...$
let the smaller number be x.

By the given condition ,

Larger number = x + 6 ..................(1)

By the second condition .....

7(smaller no.) = 6(larger no.)

7(x) = 6(x + 6) ..............................from(1)

7x = 6x + 36

7x - 6x = 36

x = 36 .

so......

Larger number = x + 6

Larger number = 36 + 6

Larger number = 42
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Therefore ,
The two numbers are 36 & 42 respectively .
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$hope \: this \: helps......$