Question

The difference of integer P and -8is3 find the value of P

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\pink{\:\:\:Given:-\:\:\:}}$

$\sf \bullet 1st\: integer= (-8)\\ \\ \sf \bullet 2nd \: integer=P\\ \\ \sf \bullet their\: difference=3$

We have to find the value of P

$\sf\underline{\purple{\:\:\:Solution:-\:\:\:}}$

Now

$\sf \implies (-8)-P=3\\ \\ \sf\implies -8-3=P\\ \\ \sf\implies (-11)=P$

The value of P is (-11) So the integer is (-11)

$\sf\underline{\underline{\red{\mathcal{PROOF}}}}$

$\sf\implies (-8)-P=3\\ \\ \sf \implies (-8)-(-11)=3\\ \\ \sf\implies -8+11=3\\ \\ \sf\implies 3=3\\ \\ \sf\:\:\:\:L.H.S=R.H.S\:\:$

$\boxed{\sf{The\:integer \:is\:(-11)}}$

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \: \: \: \: \text{The first integer = P} \\ \\ \: \: \: \: \text{The second integer = - 8} \\ \\ \text{Difference between the integers = 3} \\ \\ \\ \underline{ \mathfrak{ \: \: To \: \: find : \to \: }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \text{ The value of P = ?}$

According to Question,

$\: \: \: \: \: \: \: \: \: \: \: \tt{P - ( - 8 ) = 3} \\ \\ \tt{ \implies P + 8 = 3 } \\ \\ \tt{\implies P = 3 - 8} \\ \\ \tt{ \implies P = - 5} \\ \\ \tt{ \therefore\: \: </p><p>The \: \: value \: \: of \: \: P = \red{- \: 5}}$

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: VERIFICATION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: We \: \: have, \: \: }} \\ \\ \: \: \: \: \: \text{The first integer (P) = - 5 } \\ \\ \: \: \: \: \text{The second integer = - 8 } \\ \\ </p><p>\therefore \: \: \text{ The difference between the integer } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= - 5 - ( - 8) } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= - 5 + 8 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= 3 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \bold{ \: Hence, Verified. \: }}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{ \huge{ \bold{ \: \: OR, \: \: }}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \: \: \: \: \text{The first integer = - 8} \\ \\ \: \: \: \: \text{The second integer =P } \\ \\ \text{Difference between the integers = 3} \\ \\ \\ \underline{ \mathfrak{ \: \: To \: \: find : \to \: }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \text{ The value of P = ?}$

According to Question,

$\: \: \: \: \: \: \: \: \: \: \: \tt{ - 8 - P = 3} \\ \\ \tt{ \implies - P = 3 + 8 } \\ \\ \tt{\implies - P = 11} \\ \\ \tt{ \implies P = - 11} \\ \\ \tt{ \therefore\: \: </p><p>The \: \: value \: \: of \: \: P = \red{- \: 11}}$

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: VERIFICATION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: We \: \: have, \: \: }} \\ \\ \: \: \: \: \: \text{The first integer = - 8 } \\ \\ \: \: \: \: \text{The second integer (P) = - 11} \\ \\ </p><p>\therefore \: \: \text{ The difference between the integer } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= - 8 - ( - 11) } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= - 8 + 11 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{= 3 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \bold{ \: Hence, Verified. \: }}$