one third the sum of two numbers is 6 while half their difference is 6. find the numbers
Answers
are the numbers
Answer: The numbers are 15 and 3 where one third the sum of two numbers is 6 while half their difference is 6.
Step-by-step explanation:
Let us consider two numbers be x and y so we have to find it further what these numbers are.
Then, according to the question we have one third the sum of two numbers is 6
It is given that one third the sum of two numbers is 6
⇒ 1/3 ( x + y ) = 6
⇒ x + y = 18
we can say this is an equation 1
Again half of their difference is 6
⇒1/2( x - y )=6
⇒ x - y = 12
we can say this is an equation 2
Adding equation1 and equation2
⇒ (x + y) + (x - y) = 18 + 12
⇒ 2x = 30
⇒ x= 15
Putting x = 15 in equation1 we get:
⇒ 15 + y = 18
⇒ y = 18 -15 = 3
∴ y =3
Hence, the numbers are 15 and 3 where one third the sum of two numbers is 6 while half their difference is 6.
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