Answer :
Jerry's number is determined to be 39 by solving the system of equations derived from the conditions given, and consequently, Mary's number is calculated to be 50.
To solve the problem where Mary's number is eleven more than Jerry's, and their numbers sum up to 89, we can form two equations. The first equation stems from the fact that Mary's number is eleven more than Jerry's, which we can represent as M = J + 11. The second equation comes from the sum of their numbers equaling 89, so we write M + J = 89. To find out what Jerry's number (J) is, we substitute M in the second equation with J + 11:
- (J + 11) + J = 89
- 2J + 11 = 89
- 2J = 89 - 11
- 2J = 78
- J = 78 / 2
- J = 39
Now that we know Jerry's number is 39, we can easily find out Mary's number by plugging J into the first equation:
- M = J + 11
- M = 39 + 11
- M = 50
Therefore, Jerry's number is 39 and Mary's number is 50.
Answer:
Jerry has a number of 39, and Mary has a number of 50.
Step-by-step explanation:
Let's say mary's number is x, and jerry's is y.
x-y=11 and y+x=89. This means if we subtract 11 from 89 we get jerry's number times 2, which is 78. 78 divided by 2 is 39.
Jerry has a number of 39
and Mary has a number of 50.