Advertisements
Advertisements
प्रश्न
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
Advertisements
उत्तर
Let the two numbers be a and b.
From the first statement, we have:
a x b = 1296
If one number is 16 times the other, then we have:
b = 16 x a.
Substituting this value in the first equation, we get:
a x (16 x a) = 1296
By simplifying both sides, we get:
a2 = 1296/16 = 81
Hence, a is the square root of 81, which is 9.
To find b, use equation b = 16 x a.
Since a = 9:
b = 16 x 9 = 144
So, the two numbers satisfying the question are 9 and 144.
APPEARS IN
संबंधित प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1458
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
768
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
252
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the square root the following by prime factorization.
4096
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
Is 90 a perfect square?
Examine if the following is a perfect square
1089
Using prime factorisation, find the square roots of 11025
