A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do we need to do both the multiplication?)
Answers
Answer:
As per the given conditions
The student had to multiply 7236 by 56
So 7236 x 56 ——(i) which is the correct one
But the student multiplied by 65
Sp 7236 x 65 ———(ii) which is the wrong one
Hence the difference between the correct and the incorrect value can be calculated by subtracting the two above obtained equations (i) and (ii). That is
7236 x 65 – 7236 x 56
Taking out 7236 as the common factor
=7236 (65-56)
=7236 (9)
= 7236 x 9
= 65124
Therefore the first answer was greater than the second one by the value 65124.
Step-by-step explanation:
Given that
The student multiplied the number 7236 by 65 instead of 56
Solution
As per the given conditions
The student had to multiply 7236 by 56
So 7236 x 56 ——(i) which is the correct one
But the student multiplied by 65
Sp 7236 x 65 ———(ii) which is the wrong one
Hence the difference between the correct and the incorrect value can be calculated by subtracting the two above obtained equations (i) and (ii). That is
7236 x 65 – 7236 x 56
Taking out 7236 as the common factor
=7236 (65-56)
=7236 (9)
= 7236 x 9
= 65124
Therefore the first answer was greater than the second one by the value 65124.
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