Question

the sum of three consecutive multiple of 8 is 888 .find multiple

Answer 1

Answer:

Step-by-step explanation:

→ Let the first multiple of 8 be 8x.

→ Therefore the second consecutive multiple of 8 will be 8(x+1)

→ Also the third consecutive multiple of 8 will be 8(x+2).

→ It is given that the sum of these three consecutive multiples of 8 is 888

= 8x + 8(x+1) + 8(x+2) = 888

= 8x + 8x + 8 + 8x + 16 = 888

= 24x + 24 = 888

→ Take 24 on the RHS

= 24x = 888 - 24

= x = 864/24

= x = 36.

→ Therefore First multiple of 8 be 8x = 8 x 36 = 288

→ Second Multiple of 8 be 8(x + 1) = 8(36 + 1) = 8 x 37 = 296

→ Third Multiple of 8 be 8(x + 2) = 8(36 + 2) = 8 x 38 = 304

→ If we sum up these three multiples i.e (288 + 296 + 304) we get 888.

Answer 2

$\sf\blue{Given:}$

• Sum of three consecutive multiple of 8 is 888.

$\sf\red{To\:Find:}$

• The multiple

$\sf\pink{Solution:}$

Let the first multiple be 8x.

Then the next two multiples are:-

8(x+1) and 8(x+2)

$\implies{8x+8(x+1)+8(x+2)=888}$

$\implies$${8x+8x+8+8x+16=888}$

$\implies{24x+24=888}$

$\implies{24x=888-24}$

$\implies{24x=864}$

$\implies{x}=\dfrac{874}{24}$

$\implies{x}=36$

Therefore we found the value of x that is 36.

So,The first number is :-

$8x=8×36=288$

Second number:-

$8(x+1)=8(36+1)=8×37=296$

Third number:-

$8(x+2)=8(36+2)=8×38=304$

$\sf\green{Verification:-}$

Sum of the multiples is equal to 888.

A/Q

$\sf{288+296+304=888}$

$\sf{584+304=888}$

$\sf{888=888}$

$\sf\purple{L.H.S.=R.H.S.}$

Hence,Verified.