find a and b so that the following odd numbers are divisible by both 3 and 5 i) a18b ii) 5abba5
Answers
Answer:
find a and b so that the following odd numbers are divisible by both 3 and 5 i) a18b ii) 5abba5
Step-by-step explanation:
1) a18b
condition of 3: sum of all the digits is equal to multiples of 3
& condition of 5 : ones place should be either 0 or 5
condition for 3=> a+1+8+b = multiples of 3
a+b+9 = multiples of 3
b = 5 or 0 since the number end with 0 or 5 only divisible by 5
If b=5 then a= either 1 or 4 or 7
so the answer : (1185, 4185, 7185)
if b= 0 then a is either 3 or 6 or 9
so the answer is : 3180, 6180, 9180
2) 5abba5
since by using the above condition:
5+a+b+b+a+5 = 2a+2b+10
if a=1, then b=0, 3, 6, 9
Answer : 510015, 513315, 519915
If b=1, then a=0,3,6,9
Answer: 501105, 531135, 591195 etc
Step-by-step explanation: