finding the hcf by long division method the sequotient from top to bottom is 3,1,3 and the last is 6. find the sum of both number
Answers
Answer:
The sum of both numbers is 1034.
Step-by-step explanation:
To find the highest common factor (HCF) using the long division method, we need the divisor and the dividend. The quotient is not necessary to find the HCF, but we can use the quotient to check if we have made any mistakes.
In this case, we are given the quotient but not the dividend and divisor. However, we can use the quotient to find the product of the divisor and dividend, which should be equal to the product of the HCF and the LCM (lowest common multiple) of the numbers we are finding the HCF for.
Let's assume the divisor is x and the dividend is y. Then we have the following:
x / y = 3.13...6
We can simplify this to:
x / y = 3136 / 1000
Multiplying both sides by y, we get:
x = (3136 / 1000) * y
x = 3.136 * y
We know that x and y are integers, so we can find two numbers whose product is equal to 3.136. One possible pair is 784 and 4, since 784 * 4 = 3136. Therefore:
x = 784
y = 250
Now we can check if our quotient is correct. Performing the long division, we get:
____
250 | 784
750
---
34
30
---
46
45
---
1
The remainder is 1, which means that the HCF of the two numbers is 1.
To find the sum of both numbers, we simply add them together:
784 + 250 = 1034
Therefore, the sum of both numbers is 1034.
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