Question
The HCF and LCM of two numbers, A and B, are 15 and 225,
respectively. Additionally, the difference between the two numbers is 35. Find the sum of these two numbers.Solution
ATQ,
HCF (A, B) = 15
LCM (A, B) = 225
We know that,
HCF (A, B) × LCM (A, B) = A × B
Also, A – B = 35
Or, B = A – 35
ATQ:
A × (A – 35) = 15 × 225
Or, A² – 35A = 3375
Or, A² – 35A – 3375 = 0
Or, A² – 75A + 40A – 3375 = 0
Or, A(A – 75) + 40(A – 75) = 0
Or, (A – 75)(A + 40) = 0
So, A = 75 or A = -40
Since, A cannot be negative, we discard A = -40.
So, A = 75
And, B = 75 – 35 = 40
Therefore, required sum = (75 + 40) = 115
Find the value of ?
{[(864 ÷ 18) ÷ 8] ÷ 3} + 11² – 2³ = ?
(36/8)2 × (912/38) ÷ (122/1586) = ?
...168Â Â Â Â Â 163Â Â Â Â Â Â 153Â Â Â Â Â Â 138Â Â Â Â Â 118Â Â Â Â Â ?
...Simplify the following expression:
√( (664+ √(136+ √(59+ √(21+ √(7+ √81) ) ) ) ) ) = ?
Find the simplified value of the given expression:
(12 ÷ 3 of 2 + 11 of 2) ÷ 4
1*1/2 + 11*1/3 + 111*1/2 + 1111*1/3 + 11111*1/3 =?
?² = 37% of 800 – 14 × 18+ 5! - 20
Find the simplified value of the given expression.
{12.75 × √64 + 13.5 × √(√256)} ÷ 6 + 49.5 ÷ 5.5Â
(√529 + 63 /8)% of 800 = ?% of 250