Question

the sum of two positive integers is 151. the lesser number is 19 more than the square root of the greater number. find the value of greater number minus lesser number

Answer 1

$<b>Hey mate!!$

Here's ur answer dear :)
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y = 151 - x 

y = x^(1/2) + 19 

151 - x = x^(1/2) + 19 

x^(1/2) = 132 - x 

x = x^2 - 264x + 132^2 

x^2 - 265x + 17424 = 0 

(x - 144)(x - 121) = 0 

Solutions: 

x = 144, y = 7 
x = 121, y = 30 

The numbers are 144 and 7 or 121 and 30 

The value of the greater number minus 
the lesser number is either 137 or 91.

Thanks for the question!!

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Answer 2

❤❤Here is your answer ✌ ✌
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$\huge\underline{\green{\bold{A/q}}}$

=>y = 151 - x 

=>y = x^(1/2) + 19 

=>151 - x = x^(1/2) + 19 

=>x^(1/2) = 132 - x 

=>x = x^2 - 264x + 132^2 

=>x^2 - 265x + 17424 = 0 

=>(x - 144)(x - 121) = 0 

Solutions here⤵⤵

x = 144, y = 7 
x = 121, y = 30 

The numbers are 144 and 7 or 121 and 30 

The value of the greater number minus 
the lesser number is either 137 or 91.