Answer:
The youngest age John's cousin can be is 48 years
Step-by-step explanation:
The complete question is
John is 15 years older than her cousin. The sum of their ages is no less than 110 years
What is the youngest age John's cousin can be?
Let
x -----> John's age
y -----> John's cousin's age
we know that
[tex]x=y+15[/tex] -----> equation A
[tex]x+y \geq 110[/tex] -----> inequality B
Substitute equation A in the inequality B and solve for y
[tex]y+15+y \geq 110[/tex]
[tex]2y+15 \geq 110[/tex]
[tex]2y \geq 110-15[/tex]
[tex]2y \geq 95[/tex]
[tex]y \geq 47.5[/tex]
The youngest age John's cousin can be is 48 years
