Question

el triple de tres numeros consecutivos es igual a 90 ¿cuales son esos 3 numeros?
hacer la ecuacion​

Answer 1

Respuesta:

The three consecutive numbers are $\bold{\purple{\Large 9}}$, $\bold{\purple{\Large 10}}$ and $\bold{\purple{\Large 11}}$.

Explicación paso a paso:

Let x be the first number

Second number = x + 1

Third number = x + 2

$\:$

Algebraic Equation:

$\Large \sf 3(x+(x+1)+(x+2))=90$

$\:$

Solve for the first number (x)

$\large \sf 3(x+(x+1)+(x+2))=90$

$\large \sf 3(x+x+1+x+2)=90$

$\large \sf 3(x+x+x+1+2)=90$

$\large \sf 3(3x+3)=90$

$\large \sf 9x+9=90$

$\large \sf 9x=90-9$

$\large \sf 9x=81$

$\large \sf \frac{9x}{9}=\frac{81}{9}$

$\large \sf \frac{\cancel9x}{\cancel9}=\frac{81}{9}$

$\boxed{\bold{\purple{\Large x=9}}}$

$\:$

Solve for the second number (x+1)

$\large \sf x + 1 = 9 + 1 = \boxed{\bold{\purple{\Large 10}}}$

$\:$

Solve for the third number (x+2)

$\large \sf x + 2 = 9 + 2 = \boxed{\bold{\purple{\Large 11}}}$

$\:$

\(^‿^)/