Final answer:
The number 'a' is found by calculating 20% more than 150 to get 'b', and then finding 'a' as 30% less than 'b'. The final value of 'a' is 126, which is not listed in the provided choices.
Step-by-step explanation:
We are given two pieces of information: the number b is 20% more than 150, and the number a is 30% less than b. First, we need to calculate the value of b:
b = 150 + (20% of 150)
= 150 + (0.20 × 150)
= 150 + 30
= 180
Now we can find the value of a, which is 30% less than b:
a = b - (30% of b)
= 180 - (0.30 × 180)
= 180 - 54
= 126
The value of a is 126, which is not among the options provided. Hence, there might be an error in the options given, or the question may have some misinterpretation.
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