1.

The mean of two number is 13. If one of them is 20, find out the other

Answer»

Given

The mean of two numbers is 13

one number is 20

To Find

the other number

\sf\huge\bold{\underline{\underline{{Solution}}}}

Formula for finding mean:

\sf \boxed{\bold{Mean =  \dfrac{sum \: of \: the \: terms}{no.of \:terms }} }

Let the SECOND number be 'x'

According to the question

There are two terms or numbers say 23 and x

and no.of terms is 2

\sf \: Mean =  \dfrac{23 + x}{2}

\sf \longmapsto20 =  \dfrac{23 + x}{2}

Cross MULTIPLY to both SIDES :

\sf \longmapsto23 + x = 20 \times 2

\sf \longmapsto23 + x = 40

\sf \longmapsto \: x = 40 - 23

\sf \longmapsto \: x = 17

\sf \bold{x = 17}

∴The other number is 17

Check:-

Mean =23+17/2

Mean=40/2

Mean=20



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