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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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