Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
- 2 hundreds and 1 tens is written in the quotient
- 3200 is subtracted from 3426 to give 226
- An unknown value represented by a box is being subtracted from 226
so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
