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Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H? ?
  • a)
    153
  • b)
    150
  • c)
    129
  • d)
    89
Correct answer is option 'C'. Can you explain this answer?

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Answers

Gautam Shinde
Oct 31, 2018
Related Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H? ?a)153b)150c)129d)89Correct answer is option 'C'. Can you explain this answer?
Two-step solution:

G + G/2 = 3G/2 --> the sum is a multiple of 3.

G is a two-digit number --> G < 100 --> 3G/2 < 150.

Among the answer choices the only multiple of 3 which is less than 150 is 129.

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Highest 2 digit number that will be divided by 2 in each digit will provide again a 2 digit number is 88
so half of each digit is again a 2 digit number 44
summation 132 .
if 88=K
then 44=K/2
that means 3K/2 is a 2 digit integer
that implies 3K is an even interger
and K is a multiple of 3
we got an answer 132, which is not available in the option so number can be 132-/+(3c)
so 129 is present 132-3
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Two-step solution:G + G/2 = 3G/2 --> the sum is a multiple of 3.G is a two-digit number --> G < 100 --> 3G/2 < 150.Among the answer choices the only multiple of 3 which is less than 150 is 129.