In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q-S = 2S and T = R+S+3, then what is the value of P+R-T?

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q-S = 2S and T = R+S+3, then what is the value of P+R-T?

(a) 1 (b) 2 (c) 3 (d) Cannot be determined due to insufficient data Let's solve the problem step by step: Given: Letters 𝑃, 𝑄, 𝑅, 𝑆, 𝑇 represent the numbers 4,5,10,12,15. The relationships Q−S=2S T=R+S+3 First, let's solve for  Q and S: From  Q−S=2S Q=3S This implies Q is three times S. The numbers given are 4,5,10,12,15. Among these, only  12 can be S and 15 can be Q since  15=3×5. So: S=5 Q=15 Next, we use the second relationship: T=R+S+3 Since S=5, we have:  T=R+5+3 T=R+8 Now we need to assign the remaining numbers to T and R: The remaining numbers are 4,10,12. If R=4: T=4+8=12 So,  R=4 and T=12. This leaves P to be the remaining number, which is 10. Now we calculate P+R−T:  P=10 R=4 T=12 So: P+R−T=10+4−12=2 The value of P+R−T is 2.  Thus, the correct answer is option (b): 2