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The product of a grandfather's age and his grandchild's age is 1330 next year. How old are they now?

a) Grandfather: 30 years, Grandchild: 44 years
b) Grandfather: 35 years, Grandchild: 38 years
c) Grandfather: 40 years, Grandchild: 33 years
d) Grandfather: 45 years, Grandchild: 29 years

User Kaycee
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1 Answer

2 votes

Final answer:

The grandfather is currently 35 years old and the grandchild is currently 38 years old.

Step-by-step explanation:

To solve this problem, we need to find a pair of numbers whose product is 1330. We can start by listing the factors of 1330:

1 × 1330 = 1330

2 × 665 = 1330

5 × 266 = 1330

7 × 190 = 1330

10 × 133 = 1330

14 × 95 = 1330

19 × 70 = 1330

35 × 38 = 1330

From the given options, we can see that the pair (35, 38) satisfies the condition. therefore, the grandfather is currently 35 years old and the grandchild is currently 38 years old. So option b) Grandfather: 35 years, Grandchild: 38 years is the correct answer.

User Rizeen
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