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Question

If A, B, C, and D are decimals, then choose the correct pair of decimals that gives the value of their sum as 14.09.


A
A + B
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B
C + D
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C
B + C
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D
A + C
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Solution

The correct option is B C + D
The digits in each place of the decimals are represented as follows:


Following the representation, the final value of the given models can be written as:


Calculating the value of C + D, we get:


So, the sum of C + D is represented using 1 cube, 3 flats, 10 rods, and 9 blocks.

But, we know, 10 rods = 1 flat

So, we convert the number of rods into flats as:


Hence, finally, we get the sum of C + D as:


So, the sum of C + D is represented using 1 cube, 4 flats, 0 rods, and 9 blocks.

Hence, the sum of C + D in digits is 14.09.

This matches with the given sum of 14.09.

∴ The correct pair of decimals that gives the sum as 14.09 is C + D.

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