Good afternoon sir/ma'am
Please answer Q22
Thanks in advance
Solution
22)
It is given that the required number when divides 70 and 125, the remainder is 5 and 8 respectively.
This means that 70 - 5 = 65 and 125 - 8 = 117 are divisible by the required number.
Now, the required number is the largest common factor of 65 and 117.
Therefore, we have to find their HCF.
65 = 13 × 5
117 = 13 × 3 × 3
So, HCF is 13.
The largest number that divides 70 and 125 that leaves remainder 5 and 8 is 13.
Option (a) is correct.
22)
It is given that the required number when divides 70 and 125, the remainder is 5 and 8 respectively.
This means that 70 - 5 = 65 and 125 - 8 = 117 are divisible by the required number.
Now, the required number is the largest common factor of 65 and 117.
Therefore, we have to find their HCF.
65 = 13 × 5
117 = 13 × 3 × 3
So, HCF is 13.
The largest number that divides 70 and 125 that leaves remainder 5 and 8 is 13.
Option (a) is correct.
