Question

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Answer 1

Answer:

36,42

Step-by-step explanation:

let,

bigger number =y

smaller number=x

one number is 6 more than the other so larger number is of course 6 more than smaller number

y-x=6---------1

given,

7times smaller number is equal to 6 times larger number

7x=6y--------2

take y as subject from 2nd equation

y=7x/6-------3

substitute the value of y from 3rd equation in 1st equation

(7x/6)-x=6

taking l.c.m and solving we get ,

x/6=6

x=36

now substitute the value of x(36) in 1st equation,

we get y-36=6

so y=36+6=42

Answer 2

Answer :

The Two Numbers are 36 and 42.

Step-By-Step Explanation :

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GIVEN :

Two numbers a and b

such that

a+6 = b

7a = 6b

TO FIND :

Both the numbers a and b.

SOLUTION :

Let the smaller number be a and larger number be b.

According to question,

the larger number is 6 greater than the smaller one.

So, Larger number, b = a+6    _____(1)

Also, given in question,

7 times smaller number = 6 times larger number

7a = 6b    _____(2)

Putting value of b from (1) in (2), we get

7a = 6(a+6)

=> 7a = 6a+36

=> 7a - 6a = 36

=> a = 36

So, from (1),

b= a+6 = 36+6

=> b = 42

Hence,

Smaller Number = a = 36

Larger Number = b = 42

ANSWER :

The Two Numbers are 36 and 42.

100% CORRECT✓✓

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