please anybody solve this problem.
Answers
Answer:
hey here is your answer
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Step-by-step explanation:
so let the required three digit number be
100(a-d)+10a+a+d ie nothing but
100a-100d+11a+d
so 111a-99d
wherein digit at hundreds place is a-d,at tens place is a and that of units is a+d
so as a-d,a,a+d are in A.P
the common difference between each of its terms would be constant
so here according to the given condition
a-d+a+a+d=21
ie 3a=21
so a=7
now according to second condition
100(a+d)+10a+a-d=100(a-d)+10a+a+d-396
ie 100(a+d)-d=100(a-d)+d-396
so 100a+100d=100a-100d+2d-396
ie 200d-2d=-396
ie 198d=-396
so d=-2
now just substitute these values in a-d,a,a+d
you get required digits as
a-d=9
a=7
a+d=5
so it assumed three digit number structure was
111a-99d
ie (111×7)-(9×(-2))
=777+198
=975
hence our required three digit number is 975
Step-by-step explanation:
So, the number is 111×5+99×3=852