If 8×5×3=53,. 6×4×6=58, 9×3×8=120 , then what is the value of 5×4×10.
Answers
Given:
8×5×3=53
6×4×6=58
9×3×8=120
To find:
We have to find the value of ( 5×4×10 ).
Solution:
We will move forward step by step and try to understand this question.
Step 1:
Let us only see the left-hand side, we have to add add all given number i.e (8+5+3 = 16)
Step 2:
Now we will add each digit of the result we got by step 1 to make it single digit value i.e ( 16 becomes 1 + 6 = 7).
Step 3:
Again we will be doing the same for the right-hand side, again add each digit of the given number i.e (5+3 = 8).
Step 4:
In the next step we used to add the result we got but this time the result is single digit.
∴(8 + 0) = 8
Step 5:
After this we have to find the difference between the values we got in step 2 and step 4 i.e( 8 - 7 = 1).
Step 6:
Then the difference between step 2 and step 3 are noted in each case.
Let's draw a quick table to understand the given and each roman numbers in the cases denotes the step we did above.
case 1: i) 8+5+3 = 16 ii) 1+6 = 7 iii) 5+3 = 8 iv) 0+8 = 8 v) 8-7 = 1 vi) 1
case 2: i) 6+4+6 = 16 ii) 1+6 = 7 iii) 5+8 = 13 iv) 1+3 = 4 v) 7-4 = 3 vi) 3
case 3: i) 9+3+8 = 20 ii) 2+0 = 2 iii) 1+2+0 = 3 iv) 0+3 = 3 v) 4-3 = 1 vi) 1
Now after understanding the pattern we will move forward to solve the question.
For left hand side,
i) 5+4+10 = 19 ii) 1+9 = 10 iii) 1+0 = 1
Now, we have to find the right hand side.
We can see in the step 6 of table it follows the sequence 1, 3, 1
Now we have to maintain the sequence it should be 1, 3, 1, 3.
Now we have to bring 3 in the step 6 after the difference of Left hand side and right hand side .We have been found the left hand side to be 1 so right hand side should be 4 so their difference be 3.
Now we just have to find such digits whose sum is 4 at the end.
Now if we take the result as 193 then next step will be 1+9+3 = 13
And next to next step will be 1+3 = 4. So, the difference is 3.
Therefore, the final result is 193.