the three sides of triangle is 5 ,3 and 4 and the middle number is 18 and sides of 2nd triangle is 3,3 and 5 and its middle number is 65 and the third triangle has sides 9,6 and 3 .find its middle number.
Answers
Given:
(i) The three sides of triangle is 5 ,3 and 4 and the middle number is 18.
(ii) The sides of 2nd triangle is 3,3 and 5 and its middle number is 65.
(iii) The third triangle has sides 9,6 and 3
To find:
(i) The middle number of third triangle.
Solution:
Let us get a logic from the problems first:
For the first triangle, the three sides of triangle is 5 ,3 and 4.
The middle number is 18
- We sum up the sides and the individual digits of the middle number to get a final number.
- This final number increases by 1 when we go to the next triangle and again by one for the third triangle.
So, for the first triangle, we first sum up 5, 3 and 4.
We get (5+3+4) = 12
Again, we add 12 with 1 and 8 (Because the digits of 18 are 1 and 8), to get the final number.
12 + 1 + 8 = 21.
For the second triangle, the three sides of triangle is 3 ,3 and 5.
The middle number is 65.
Again, for the second triangle, we first sum up 3, 3 and 5.
We get (3+3+5) = 11
Again, we add 11 with 6 and 5 (Because the digits of 65 are 6 and 5), to get the final number.
11 + 6 + 5 = 22.
We can see that the final number is incremented by one as stated in the logic.
For the third triangle, its middle number should be 23.
For the third triangle, the three sides are 9 ,6 and 3.
So, we first sum up 9, 6 and 3.
We get (9+6+3) = 18
Let the digits of the final number be x and y.
18 + xy = 23
⇒.xy = 5
So, x is 5 and y is 0.
Thus the number is 50.
50 is the middle number.
Answer:
Step-by-step explanation:
In the 1st triangle , upper digit is 10
The sum of 72 = 7+2 = 9
In next triangle upper digit is 9,
64 = 6+4 = 10
Next the upper digit will be 8, the sum should be 11
For upper digit 7 , then the sum should be 12
For 6 , the sum is 13
For 5, the sum should be 14 .. See from option 68 = 6+8 =14 . So the answer is 68