Question

what should be subtracted from (2p+3q) to get 2q? (step by step explanation plz) ​

Answer 1

Required Answer

Let the number which should be subtracted be x.

• According To Question :

$\leadsto \sf (2p+3q)-x=2q$

$\leadsto \sf 2p+3q-x=2q$

$\leadsto \sf 2p+3q -2q= x$

$\leadsto\sf 2p+q=x$

$\leadsto{\underline{\boxed{\bf {x=2p+q}}}}$

$\huge {\pink{\therefore}}$ 2p+q should be subtracted from 2p+3q to get 2q.

VERIFICATION :

We know that

• 2p+q should be subtracted from 2p+3q to get 2q.

$\leadsto \sf (2p+3q)- (2p+q)=2q$

$\leadsto \sf 2p+3q-2p-q=2q$

$\leadsto \sf \cancel{2p}-\cancel{2p}+3q -q= 2q$

$\leadsto\sf 2q=2q$

$\leadsto{\underline{\boxed{\bf {LHS = RHS}}}}$

• Hence, Verified.