Question

4 more than one third of a number is sixteen find the number

Answer 1

hey mate here is your answer hope you satisfied

Answer 2

Question:

4 more than one third of a number is sixteen find the number.

To find?

• Number

Let

• The number be x.

Equation formed according question:

$:\implies \sf{4 +[ \dfrac{1}{3} \: of \: x ]= 10}$

Now Let's solve this equation:

$:\implies \sf{4 +[ \dfrac{1}{3} \: \times \: x ]= 10}$

$:\implies \sf{4 + \dfrac{x}{3} = 10 }$

multiply each digit by 3

$:\implies \sf{(4 \times 3) + \dfrac{x \times 3}{3} = 10 \times 3}$

$:\implies \sf{12 + \dfrac{x \times \cancel{3}}{ \cancel3} } = 30$

$:\implies \sf{12 + x = 30}$

$:\implies \sf{x = 30 - 12}$

$:\implies \star\large{\pink{\boxed{ \sf{\underline{\blue {x = 18}}}}}} \star$

Now Let's Verify is value correct or not.

Verification:

$:\implies \sf{4 +[ \dfrac{1}{3} \: \times \: x ]= 10}$

Inset value of x in Equation:

$:\implies \sf{4 +[ \dfrac{1}{3} \: \times \: 18 ]= 10}$

$:\implies \sf{4 + 6 = 10}$

$:\implies \star\large{\pink{\boxed{ \sf{\underline{\blue {10 =10}}}}}} \star$

hence verified

_____________________________________

And all we are done!

hope it helps!