The value of the first number is 9 , and
the value of the second number is 8 .
In the question ,
statements about two numbers is given ,
let the first number be x ,
let the second number be y .
According to the first statement " One number is one more than a second number "
translating it into the equation form , we get
x=y+1 ...(i)
According to the second statement which states " Five times the first is 3 less than 6 times the second "
translating it into the equation form , we get
5*x = 6*y - 3
5x = 6y - 3
Substituting the value of x from equation (i) , we get
5(y+1) = 6y - 3
5y + 5 = 6y - 3
6y-5y = 5+3
y = 8 ,
substituting y=8 in the the equation (i) ,
x = 8 + 1
x = 9
hence the first number = 9 and the second number = 8 .
Therefore , the value of the first number is 9, and
the value of the second number is 8 .
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