Question

The Sum
of three consecutive
multiples of 9 is 297.Find
the multiples​

Answer 1

Step-by-step explanation:

Given :-

The sum of three consecutive multiples of 9 is 297.

To Find :-

Find the numbers.

Solution :-

~Here, we’re given that sum of three consecutive multiples of 9 is 297. We can find out the multiples by making an equation satisfying the given condition and then solve it.

_____________

Let the multiples be

x

x + 9

x + 18

_____________

ATQ ::

\sf \implies ( x ) + ( x + 9 ) + ( x + 18 ) = 297⟹(x)+(x+9)+(x+18)=297

\sf \implies x + x + 9 + x + 18 = 297⟹x+x+9+x+18=297

\sf \implies 3x + 27 = 297⟹3x+27=297

\sf \implies 3x = 297 - 27⟹3x=297−27

\sf \implies 3x = 270⟹3x=270

\sf \implies x = \dfrac{270}{3}⟹x=

3

270

\sf \implies x = 90⟹x=90

_____________

Therefore ,

Multiples are 90 , 99 , 108

_____________

Verification :-

~We’re given that their sum is 297 . Then sum of 90 , 99 and 108 must be 297.

\sf \implies 90 + 99 + 108 = 297⟹90+99+108=297

\sf \implies 297 = 297⟹297=297

LHS = RHS

Hence , the answer is correct ☑

Answer 2

hope u understood.

thanks