Question
The HCF and LCM of two numbers, A and B, are 14 and 196,
respectively. The difference between these two numbers is 28. Find their sum.Solution
ATQ,
HCF (A, B) = 14
LCM (A, B) = 196
We know that,
HCF (A, B) × LCM (A, B) = A × B
Also, A – B = 28
Or, B = A – 28
ATQ:
A × (A – 28) = 14 × 196
Or, A² – 28A = 2744
Or, A² – 28A – 2744 = 0
Or, A² – 56A + 28A – 2744 = 0
Or, A(A – 56) + 28(A – 56) = 0
Or, (A – 56)(A + 28) = 0
So, A = 56 or A = -28
Since, A cannot be negative, we discard A = -28.
So, A = 56
And, B = 56 – 28 = 28
Therefore, required sum = (56 + 28) = 84
Fill in the blank given below using the correct idiom.
Despite the obstacles, Jane decided to _______________ and launch her own business.
...Wild and woolly
Once in a while
Select the most appropriate meaning of the underlined idiom in the given sentence.
This problem is a hard nut to crack,it will take longer than t...
Choose the correct meaning of the following idiom:Â
Caught between a rock and a hard placeÂ
In each question, three meanings numbered I, II and III are given for the Idiom / Phrase highlighted in the sentence. Out of the given three meanings, ...
To feel under the weather
1 - Five o\'clock face2 - Five o\'clock shadow3 - Five o\'clock look4 - Five o\'clock gaze5 - None of these
Will-o-the-wisp
Fill in the blank with an appropriate idiom.
The couple was __________, but they eventually got their act together.
