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Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.

 Nov 24, 2019
 #1
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Hence, 

First multiply 

(q+4)(p+3) 

then multiply

(q+2)(p+1) 

 

Subtract them and solve the equation 

 

Solution:
 

(q+4)(p+3)=qp+3q+4p+12

(q+2)(p+1)=qp+q+2p+2 

Subtract

 

qp+3q+4p+12-(qp+q+2p+2)

 

qp+3q+4p+12-qp-q-2p-2

2q+2p+10=44  subtract 10

2q+2p=34

Divide by 2 

q+p=17

 Nov 24, 2019

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