Question

Jim is 3 inches taller than Alvin, and Alvin is twice as tall as Becca. How tall is Jim if the sum of their heights is 153 inches?
A) 30 inches
B) 57 inches
C) 60 inches
D) 63 inches

Answer 1

Let J represent Jim
A represent Alvin
B represent Becca
Jim is 3 inches taller than Alvin, and then we translate this into an equation which is:
J=3+A
Alvin is twice as tall as Becca, and also translate thus into an equation:
A=2B or B=1/2A
Next,
The sum of their heights is 153 inches which is:
J+A+B=153
B=1/2A
J=3+A
Substitute the three of them to get this new equation:
3+A+A+1/2A=153
3+2.5A=153
Subtract 3 to each side
3+2.5A-3=153-3
2.5A=150
Divided 2.5 to each side
2.5A/2.5=150/2.5
A=60 inches
J=3+A
J=3+60
J=63 inches, so Jim is 63 inches tall. As a result, D is your final answer. Hope it help!

Answer 2

I thik the answer is c