Question

the product of two positive numbers is 4752 and their ratio is 11:12.The smaller of this number is.
a)72
b)60
c)66
d)75​

Answer 1

Answer:

(c)

Step-by-step explanation:

Let the no. 11x and 12x respectively

AtoQ

11x×12x=4752

132x²=4752

x²=4752÷132=36

x=

$\sqrt{36}$

x=6

Smaller digit=11x=11×6=66.

Hope it will help you.

Answer 2

Final answer is

Smaller number is option (c) 66

According to the given details

We have to find the smaller number .

Step-by-step explanation:

Step-1:

Given ,

Product of two positive number = 4752

Ratio of two numbers is 11:12

Step-2:

Let number is x

Ist number is 11x

IInd number is 12 x

Step-3:

Product of 1st number × Product of 2nd number = 4752

$11x × 12x= 4752$

Multiply the terms

$132 \times {x}^{2} = 4752$

Shift the value toward Right hand side ,

${x}^{2} = \frac{4752}{132}$

Divide the terms

${x}^{2} = \frac{4752 \div 132}{132 \div 132}$

we get ,

${x}^{2} = \frac{36}{1}$

or

x² = 36

Now ,

$x = \sqrt{36}$

We know that 6×6= 36

$x = 6$

Hence ,

Ist number is 11x = 11×6 = 66

IInd number is 12 x =12×6= 72

option (c) 66 is correct.

Project code #SPJ2