One number is four times a second number. if you take one half of the second number and increase it by the first number, the result is at least 45. find the least possible value for the second number.

The least possible value for the second number is 10 and this can be determined by forming the inequality with help of the given data.

Given :

Let the second number be 'a'. So, according to the given data, the first number is '4a'.

It is also given that take one half of the second number and increase it by the first number, the result is at least 45. So, the mathematical expression that represents this situation is:

0.5a + 4a 45

Simplify the above inequality in order to determine the least possible value for the second number.

4.5a 45

a 10

So, the least possible value for the second number is 10.

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Let the second number = X

One number = 4x

one half of the second number = (1/2)X

So now you have (1/2)X +4x =>45

4.5X=>45

X=> 45/4.5

X=>10

The least possible number is 10.