Question

A number is three less than 4 times another.if their sum is equal to 32. then the greatest number is?

Answer 1

suppose number is

X

by using condition of problem

another number is 4X - 3

hence

sum = 32

X + 4X - 3 = 32

5X = 32 + 3

5X = 35

X = 35/5 = 7

two number are

X = 7 and

4x - 3 = 4 × 7 - 3 = 28 - 3 = 25

7 , 25

greatest number is = 25

Answer 2

Let the two numbers be x and y

x + 3 = 4y --------(1)

x + y = 32 --------(2)

We have 2 equations now. lets solve for variables now.

x + 3 = 4y

x = 4y - 3

Putting above value in eqn (2)

x + y = 32

4y - 3 + y = 32

5y = 35

y = 7

Putting the value of y in 4y - 3

x = 4y - 3

x = 4 (7) - 3

= 28 - 3

= 25

Hence our two numbers are 25 and 7.

The greater number is 25.