Question

if 1200=2a × 3b × 5c find the values of a ,b and c
a). a=4,b=1,c=2
b). a=3,b=2,c=1
c). a=3,b=1,c=2
d). a=4,b=2,c=1​

Answer 1

The values of a, b, c would be 2, 4, 5.

Step-by-step explanation:

There can be various combinations for which the relation$1200=2a \times 3b \times 5c$ can be correct.

$1200=2a \times 3b \times 5c$

$1200=30abc$

$abc = \frac{1200}{30}$

$abc = 40$

So, the product of the variables is equal to 40.

Hence, we can find factors of 40 and try to obtain values of a, b, and c.

Factors of 40 are 2, 2, 2, 5.

So, the values of a, b, c can be 2, 4, 5.

Answer 2

Answer:

The value of a, b ,c are 4 ,1, 2 respectively.

(option a) is the correct.

Step-by-step explanation:

• In context to the given question we have to find the value of  a , b and c
• given problem

The question is in wrong format : the correct format must be ;

1200 = 2ᵃ x 3ᵇ x $5^c$

We have to verify the values by the given option,

a). a=4,b=1,c=2

⇒ 1200 = 2ᵃ x 3ᵇ x $5^c$

by putting the values;

1200 = 2⁴ x3¹ x 5²

1200 = 16 x 3 x 25

1200 = 1200

There hence it is verified. the value of a,b,c are 4,1,2 respectively

b). a=3,b=2,c=1

⇒ 1200 = 2ᵃ x 3ᵇ x $5^c$

by putting the values;

1200 = 2³ x3²x 5¹

1200 = 8 x 9 x 5

1200 ≠360

Therefore , Not verified

c). a=3,b=1,c=2

⇒ 1200 = 2ᵃ x 3ᵇ x $5^c$

by putting the values;

1200 = 2³x3¹x 5²

1200 = 8 x 3 x 25

1200 ≠600

Therefore , Not verified

d). a=4,b=2,c=1​

⇒ 1200 = 2ᵃ x 3ᵇ x $5^c$

by putting the values;

1200 = 2⁴ x3² x 5¹

1200 = 16 x 9 x 5

1200 ≠720

Therefore , Not verified

hence, (option a) is the correct.