Question

The same of two numbers is 39. The sum of twice the larger number and three times the smaller number is 93. Find the smaller number.

Answer 1

The smaller number is 15

Explanation:

Step one:

Given data

The sum of two numbers is 39.

let the smaller number be x

and the bigger number be y

so

x+y=39---------1

The sum of twice the larger number and three times the smaller number is 93

3x+2y=93--------2

Step two:

We have the following systems of equations

x+y=39---------1

3x+2y=93--------2

from eqn q

x= 39-y

Step three:

put the value of x in eqn 2

3(39-y)+2y=93

117-3y+2y=93

collect like terms

117-93= 3y-2y

24= y

y=24

put y= 24 in eqn 1

x+24= 39

x= 39-24

x=15