Find the missing number in the following:
24, ?, 109, 134, 150, 159
Answers
Answered by
3
Hey
On subtracting the numbers
159-150=9
150-134=16
134-109=25
The numbers obtained are perfect squares. Implies,109-? also should be a perfect square. 9,16 and 25 all are succeeding squares. So,the next result would be 36.
=>109-?=36
=>?=109-36=73
Verification:
73-24=49
49 is also a perfect square.
Thus,the required number is 73.
On subtracting the numbers
159-150=9
150-134=16
134-109=25
The numbers obtained are perfect squares. Implies,109-? also should be a perfect square. 9,16 and 25 all are succeeding squares. So,the next result would be 36.
=>109-?=36
=>?=109-36=73
Verification:
73-24=49
49 is also a perfect square.
Thus,the required number is 73.
Similar questions