A five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c. If a is less than or equal to b and b is less than or equal to c, what is the sum of a + b + c?
Didn't use a systematic approach. As we know its a 5 digit no. greater than 50000 and ending in 6, it should be the square of a number ending in 4/6 Now thre are 5 such numbers 224/226/234/236/244 Of these 224 and 236 satisfy. The numbers are 50176 and 55696. The sum is 8 or 20. If didn;t take much time.
Didn't use a systematic approach.
ReplyDeleteAs we know its a 5 digit no. greater than 50000 and ending in 6, it should be the square of a number ending in 4/6
Now thre are 5 such numbers 224/226/234/236/244
Of these 224 and 236 satisfy. The numbers are 50176 and 55696.
The sum is 8 or 20.
If didn;t take much time.
yeah that is the way to do it ! in the easiest way :)
ReplyDelete