Question

Fourteen less than five times a number is three times the number.

Answer 1

Let the number be 'x'

5x-14=3x
5x-3x=14
2x=14
x=7

To verify

5(7)-14=3(7)
35-14=21
21=21

Answer 2

Concept

Algebra is a branch of mathematics that study in the representation of problems in the form of mathematical expressions, Mathematical operations are addition, subtraction, Multiplication, Division.

Given

Fourteen less than five times a number is three times the number

Find

The value of the number

Solution

Let the number we need to find be x

We are given that  14 less than 5*x is 3*x

The equation is

5x – 14 = 3x

5x - 3x = 14

2x = 14

x = 7

Verification

For x = 7

5x – 14 = 3x

Solving LHS

5(7) -14

= 35 – 14

= 21

Solving RHS

= 3*7

= 21

LHS = RHS

Hence Verified

The value of the number is 7 which is Fourteen less than five times a number is three times the number.

#SPJ3