Question

the sum of three consecutive multiples of 5 is 555.find the multiples.​

Answer 1

$\huge{\pink{\underline{\underline{\tt{\diamond\; SoluTion:}}}}}$

Given,

Sum of three consecutive multiples of 5 is 555.

Let's

The Three Consecutive Multiples are (x), (x+1), (x+2)

According To The Sum

$→\;{\sf{5x+5(x+1)+5(x+2) = 555}}$

$→\;{\sf{(5x)+(5x+5)+(5x+10) = 555}}$

$→\;{\sf{3(5x)+15 = 555}}$

$→\;{\sf{15x = 555-15}}$

$→\;{\sf{x = {\cancel{\frac{555}{15}}}}}$

$☞\;{\bf{x = 36}}$

Three Consecutive Numbers are

x = 36,

x+1 = 37 & x+2 = 38

The Three Consecutive Multiples of 5 are

◕➜ 36×5 = $\fbox\red{180}$

◕➜ 37×5 = $\fbox\green{185}$

◕➜ 38×5 = $\fbox\purple{190}$

___________________

$\Large\underbrace{\green{\mathfrak{Check:}}}$

→ 5(x)+5(x+1)+5(x+2) = 555

→ 180+185+190 = 555

→ 555 = 555

➝ LHS = RHS

Hope It Helps You ✌️

Answer 2

Answer:

180 , 185 , 190 is a answer