The product of 2 whole numbers is 1000. If neither of the number is a multiple of 10. What is their sum ?
(1) 110
(2) 125
(3) 150
(4) 133
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ans is 1) option 110
ans:) 100×10 =1000
sum is 100+10=110
ans:) 100×10 =1000
sum is 100+10=110
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Answer:
(4) 133
Step-by-step explanation:
We factor 1000 as $10 \times 10 \times 10 = 2^3 \times 5^3$. We are looking for two factors, neither of which is a multiple of 10. This means that neither number can contain a factor of both 2 and 5. This can only happen if one of the numbers is $2^3$ and the other is $5^3$. $2^3 = 8$ and $5^3 = 125$; their sum is $125 + 8 = {133}$.
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