Question

If one-third of a number added to itself gives 10,then find the number.

Answer 1

Let the number be x
Therefore according to the question,
x* 1/3 + x=10
=> x/3 + x= 10
=> x/3 + 3*x/3=10
=> (x+3x)/3=10
Multiply both sides by 3
3(4x)/3=10*3
=>4x=30
Divide both sides by 4
4x/4=30/4
=>x=7.5
Verification:-
According to question,
x* 1/3 + x=10
=>7.5/3 + 7.5 =10
Solving LHS
2.5+7.5
=10
Since,LHS = RHS
Hence proved
x=7.5




Hope this helps!

Answer 2

Answer:

Step-by-step explanation:

Let the number be x

Therefore according to the question,

x* 1/3 + x=10

=> x/3 + x= 10

=> x/3 + 3*x/3=10

=> (x+3x)/3=10

Multiply both sides by 3

3(4x)/3=10*3

=>4x=30

Divide both sides by 4

4x/4=30/4

=>x=7.5

Verification:-

According to question,

x* 1/3 + x=10

=>7.5/3 + 7.5 =10

Solving LHS

2.5+7.5

=10

Since,LHS = RHS

Hence proved

x=7.5