Question

if 5×10×15×20×25×30=2^(2a)×3^(3b)×5^(5c) then find 15(a-b-c)

Answer 1

Step-by-step explanation:

Starting with the second given equation;

3a + 5b + 7c = 30

(2a + 3b + 4c) + (a + 2b + 3c) = 30

35 + (a + 2b + 3c) = 30

a + 2b + 3c = -5______(1)

Now, using the first equation

2a + 3b + 4c = 35

( a + 2b + 3c) + (a + b + c)=35

-5 +(a + b + c)=35 [ using__(1)]

a + b +c=40