Answer:
the smaller number is 27.
Step-by-step explanation:
set two numbers are a and b
one number is less that twice of a number:
let's say a is 5 less than twice of b
so we have : a=2b-5
sum of the two numbers is 76: we have a+b=76
then we set up the system of equation[tex]\left \{ {{a=2b-5} \atop {a+b=76}} \right.[/tex]
substitude a = 2b - 5 into the second equation
we have,
2b - 5 + b = 76
3b - 5 = 76
3b = 81
b = 27
Since a + b = 76 so a = 49
