product 620*28a is divisible by 15
Answers
Answer:
Mark as brainliest answer.
Step-by-step explanation:
→ To show= That product of 620*28a is divisible by 15.
→ we have to find value of a .
→ Let value of a = 15
→ 620*(28×15)/15
→ 620*420/15
→ 260400/15
→ 17360
→ It is there, the number is fully divided with remainder is 0.
→ Now we have so many value of a . as we can take multiple of a.
→ a = 15
→ now its multiple means,
→ 15 × 2 = 30 [this can be also put up in value of a][remainder will be 0.]
→ 15 × 3 = 45 [this can be also put in value of a][remainder will be 0.]
→ so it is true that product 620*28a is divisible by 15.
→ And the value we get after dividing it is 17360.
CORRECT QUESTION
If the product 620*28a is divisible by 15. Find the value of a.
ANSWER
The value of a can be 2, 5, or 8.
GIVEN
620*28a
TO FIND
The value of a.
SOLUTION
We can simply solve the above problem as follows;
A number is divisible by 15 if it is divisible by both 3 and 5.
We know that,
A number is divisible by 3 if the sum of the digits is divisible by 3.
And,
A number is divisible by 5 if the units place is either 5 or 0.
Given
620 × 28a
620 is divisible by 5 since the units digit is zero.
So, 620 × 28a is divisible by 5.
Now, 28a must be divisible by 3.
Therefore,
The sum of the number 28a should be divisible by 3.
2 + 8 + a = 10+a is divisible by 3
Hence, The value of a can be 2, 5, or 8.
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