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Twelve times a number r plus half a number s equals seventeen. Twice the number r plus

one-twelfth of the number s equals seven. What are the two numbers?​

User MoLow
by
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1 Answer

3 votes

Given:

Twelve times a number r plus half a number s equals seventeen.

Twice the number r plus one-twelfth of the number s equals seven.

To find:

The two numbers.

Solution:

Twelve times a number r plus half a number s equals seventeen. So,


12r+(1)/(2)s=17 ...(i)

Twice the number r plus one-twelfth of the number s equals seven.


2r+(1)/(12)s=7 ...(ii)

Multiply both sides by 2 in (i).


24r+s=34 ...(iii)

Multiply both sides by 12 in (ii).


24r+s=84 ...(iv)

Using (iii) and (iv), we get


43=84, which is a false statement because
43\\eq 84.

It means, equation (i) and (ii) has not solutions.

Therefore, the two numbers for the given problem does not exist.

User Deeptechtons
by
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