Question

A number added to its two-thirds is equal to 55. Find the number.
by 45. Find the number​

Answer 1

• Correct Question

• A number added to its two-thirds is equal to 55. Find the number.

• To find

• The number.

• Solution

Let the no. be x

According to the question,

$: \implies \sf{x + \dfrac{2x}{3} = 55}$

$: \implies \sf{\dfrac{3x + 2x}{3} = 55}$

$: \implies \sf{\dfrac{5x}{3} = 55}$

$: \implies \sf{x= \dfrac{55 \times 3}{5} }$

$: \implies \sf{x= \dfrac{ \cancel{55}\times 3}{ \not{5}} }$

$: \implies \sf{x= 11 \times 3}$

$: \implies \sf{x= 33}$

• The value of x is 33.

•°• The no. is 33.

━━━━━━━━━━━━━━━━━━━━━━

Let's Verify -

$: \implies \sf{33 + \dfrac{2 \times 33}{3} = 55}$

$: \implies \sf{33 + \dfrac{2 \times \cancel{33}}{ \not{3}}}$

$: \implies \sf{33 + 2 \times 11}$

$: \implies \sf{33 + 22}$

$: \implies \sf{55}$

•°• LHS = RHS

Hence, verified.