Answer:
Clue 1: R1 + R2 + R3 = 24
Clue 2: R1 + R2 =16
Since, R1 + R2 + R3 = 24 (from clue 1)
R1 + R2 + R3 = 24
16 + R3 = 24
Subtract both the sides by 16,
R3= 8
Clue 3:
We need to find the blank R1 + __ + S2 = 20 and S2 = 4
Since, R1 + R2 = 16 (from clue 2)
So, R1 + R2 + S2 = 20
16 + S2 = 20
Subtract 16 from both sides.
16 + S2 - 16 = 20 -16
S2 = 4
So, R1 + R2 + S2 = 20
Clue 4:
We need to find the blank R2 = __
S2 + R2 = 13
Since, S2 = 4
S2 + R2 = 13
4 + R2 = 13
Subtract 4 from both sides.
R2 = 9
So, R2 = 9
Clue 5:
We need to find the blank ___ + T2 = 22 and T2 = ___
R3 + T2 = 22
Since, R3 =8 ( from the Clue 2 )
R3 + T2 = 22
8 + T2 = 22
Subtract both the sides by 8,
T2 = 14
So, R3 + T2 = 22
Clue 6:
We need to find the blank T1 + ___ = 24 and ___ = 10
Since, T1 + T2 = 24 ( from the Clue 5 )
T1 + 14 = 24
Subtract both the sides by 14,
T1 = 10
Clue 7:
We need to find the value of S1,
Given T1 + R3 + S1 =20
Since, T1 = 10 and R3 = 8
10+ 8 + S1 = 20
18 + S1 = 20
Subtract both the sides by 18,
so, S1 = 2
Combining this with what we learned from Clue 2 and Clue 6, we know
S1 = 2
Now, we need to find the blank, S1 + S2 + ___ = 11
Combining this with what we learned from Clue 3 and Clue 7, we know
___ = 5
S1 + S2 + S3 = 11
2 + 4 + S3 = 11
6 + S3 = 11
Subtract both the sides by 6,
S3 = 5
For R1
Since, R1 + R2 + R3 = 24
R1 + 9 + 8 = 24
R1 + 17 = 24
Subtract both the sides by 17,
R1 = 7
Therefore,
R1 = 7
R2 = 9
R3 = 8
S1 = 2
S2 = 4
S3 = 5
T1 = 10
T2 = 14