Question
The LCM and HCF of two numbers is 192 and 16 respectively.
If the sum of the number is 112, then find the difference between the numbers.Solution
We know that, LCM X HCF = product of the numbers
Let the numbers are 'a' and 'b'.
So, a X b = 192 X 16
So, ab = 3072........(I)
Given, a + b = 112
From equation (I) ,
Or, 'a' = (3072/b)
So, (3072/b) + b = 112
So, 3072 + b 2 Â = 112b
Or, b 2 Â - 112b + 3072 = 0
Or, b 2 Â - 64b - 48b + 3072 = 0
So, 'b' = 48 or 64
When, 'b' = 48
So, 'a' = (3072/48) = 64
When, 'b' = 64
So, 'a' = (3072/64) = 48
Therefore, required difference = 64 - 48 = 16
Answer the following question based on the direction given below:
If 'A#B' means 'A is the father of B' 'A@B' means 'A is the brother of B' '...
If 'A + B' means that A is the brother of B, 'A X B' means that A is the daughter of B, 'A ÷ B' means that A is the father of B, then which of the fol...
In expression I @ P % K $ O @ G # N % F, how is P related to F’s sister?
If the expression ‘S&R @ Q * P, S % T * U and V # U’ are true, then how is V’s only niece related to the person married to P?
Answer the following question based on the direction given below. If ‘A#B’ means ‘A is father of B’ ‘A@B’ means ‘A is daughter of B’ ‘...
If expression ‘R % T $ S # U $ V’ is true, then how is wife of V related to T’s mother?Â
If G @ H & I % J @ L ^ K then how is J related to H?
'A # B' means 'A is the brother of B'. 'A @ B' means 'A is the daughter of B'. 'A & B' means 'A is the husband of B'. 'A % B' means 'A is the wife of B'...
'A + B' means 'A is the sister of B'. 'A - B' means 'A is the brother of B'. 'A X B' means 'A is the father of B'. 'A ÷ B' means 'A is the wife of B'. ...
If 'A@B' means 'A is father of B', 'A#B' means 'A is wife of B', 'A$B' means 'A is sister of B', 'A%B' means 'A is brother of B'. If 'R @ S $ T # V @ U ...
