Question

The difference between two numbers is 9 find the numbers if their sum is 46

Explain and which veriation used and how to solve it

Answer 1

Step-by-step explanation:

x + y = 46. x =46- y

x - y = 9

46 - y - y =9

46 -2y =9

y = -37/2

put this value in 1st equation

Answer 2

$\huge \mathfrak \red{answer}$

$\bf \underline{first \: number = 18.5}$

$\bf \underline{second \: number = 27.5}$

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$\sf \huge \underline{Question}$

The difference between two numbers is 9 find the numbers if their sum is 46 Explain and which veriation used and how to solve it

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$\sf \underline{step \: by \: step \: explanation}$

Given:

• difference between two numbers is 9

• sum of numbers is 46

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• let the first number be x

• second number be y

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According to question given difference number is 9 so,

$\bf \red{x - y = 9}$

$\bf \red{x = 9 + y \: is \: eq(1)}$

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sum is 46 now we get,

$\rm \red{⟹ \: x + y = 46}$

$\rm \blue{⟹ = (9 + y) + y = 46}$

$\rm \green{⟹ = 9 + y + y = 46}$

$\rm \orange{⟹ = 9 + 2y = 46}$

$\rm \pink{⟹ = 2y = 46 - 9}$

$\rm \red{⟹ = 2y = 37}$

$\rm \blue{⟹ = y = \frac{37}{2}}$

$\rm \pink{⟹ = y = 18.5}$

first number is 18.5

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Now second number

put the value of y we get,

$\tt \red{⟹x = 9 + 18.5}$

$\tt \green{⟹ = 27.5}$

I hope it's help uh