CUET UG 2025 — General Test Arithmetic

The mean of 6 numbers is 19. Two more numbers are included, making 8 numbers with a mean of 23.

The mean formula is:

Mean $= \dfrac{\text{Sum of all numbers}}{\text{Number of values}}$=Number of valuesSum of all numbers​

---

For the original 6 numbers:

$$19 = \dfrac{\text{Sum of 6 numbers}}{6}$$19=6Sum of 6 numbers​

$$\text{Sum of 6 numbers} = 19 \times 6$$Sum of 6 numbers=19×6

$$\text{Sum of 6 numbers} = 114$$Sum of 6 numbers=114

---

For all 8 numbers:

$$23 = \dfrac{\text{Sum of 8 numbers}}{8}$$23=8Sum of 8 numbers​

$$\text{Sum of 8 numbers} = 23 \times 8$$Sum of 8 numbers=23×8

$$\text{Sum of 8 numbers} = 184$$Sum of 8 numbers=184

---

The sum of the 2 new numbers is the difference between the total sum of 8 numbers and the original sum of 6 numbers:

$$\text{Sum of 2 new numbers} = 184 - 114$$Sum of 2 new numbers=184−114

$$\text{Sum of 2 new numbers} = 70$$Sum of 2 new numbers=70

Therefore, the sum of the two included numbers is $70$70.