Question

find p and q if p and q are two positive no. and p + q=988 and p- q =29​
please give the ans fast with explaination

Answer 1

Answer:

$\huge{\pink{\boxed{\green{\sf{p=\frac{1017}{2}}}}}}$

$\huge{\pink{\boxed{\green{\sf{q=\frac{959}{2}}}}}}$

Step-by-step explanation:

$\huge{\pink{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}$

$\: \: \: \: \: { \orange{given}} \\ { \pink{ \boxed{ \green{p + q = 988}}}} \\ { \pink{ \boxed{ \green{p - q = 29}}}} \\ \\ {\blue{to \: find}} \\ { \purple{ \boxed{ \red{p = ?}}}} \\ { \purple{ \boxed{ \red{q =? }}}}$

☆ According to the given question:

☆ We have two eqn two unknown:

$\to p + q = 988 - - - - - (1) \\ \to p - q = 29 - - - - - (2) \\ \\ adding \: (1) \: and \: (2) \\ \to p + q + p - q = 988 + 29 \\ \to 2p = 1017 \\ { \pink{ \boxed{ \green{\therefore p = \frac{1017}{2}}}}} \\ \\ putting \: value \: of \: p \: in \: (2) \\ \to p - q = 29 \\ \to \frac{1017}{2} - q = 29 \\ \to \frac{1017}{2} - \frac{29}{1} = q \\ \to q = \frac{1017 - 58}{2} \\ { \pink{ \boxed{ \green{\therefore q = \frac{959}{2} }}}}$

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Answer 2

Answer:

${\underline{\boxed{\sf{p=\frac{1017}{2}}}}}$

${\underline{\boxed{\sf{q=\frac{959}{2}}}}}$

Given:

P + Q = 988

  { where both should be positive numbers }

And P - Q = 29

Step-by-step explanation:

Let's solve it using trial and error method,

First we'll arrange them in order and than by solving simply, we will get the answer.

Solution:

⇒ ${\sf{p+q=988}}$

⇒ ${\sf{p-q=29}}$

⇒ ${\sf{2p=1017}}$

⇒ ${\sf{p=\frac{1017}{2}}}$

____________________

So, we got the value of p, 1017/2

than the value of q -

${\sf{\frac{988}{1}-\frac{1017}{2}}}$

=${\sf{\frac{959}{2}}}}$

_____________________

Value of p = 1017/2

value of q = 959/2