Photo from Jai Shri Ram 🙏

After Many days, solve a good level of question #Number

N = 2ᵃ * 3ᵇ * sthg
3/2 N = 2ᵃ⁻¹ * 3ᵇ⁺¹
(a+1)(b+1)=(a)(b+2)
ab + a + b + 1 = ab + 2a
a - b = 1 ......
a =1 ....... a=3
Sthg = (1,5,7,11,...)

Sthg 2 12 72
1
5
7
11
13
17
19
23
5²
29
31
5*7
37
41
43
47
7²

2 => 17 pairs 12=> 3 pairs
72=> 1 pair
21 pairs total

2. 3
2*5. 3*5
2*7. 3*7
.
.
.
.

2*47. 3*47
Total prime less than 50-(1)
Total=14 pairs
Other than those
2^2*3, 3^2*2
5^2*2, 5^2*3
3*5*2^2,5*3^2*2
3*5*7,7*2*5
2^3*3^2,2^3*3^3
3*5*2^2,5*3^2*2
7^2*2,7^3*3. Total 7
14+7=21 total

One of the most conceptual

This is it.. Help me out

Abc and ade are congruent
Ac=ad=x. Bc=cd=de=a
Now apolonius theorem in ∆abd
400+x^2=2(x^2+a^2)
X^2=400-2a^2.........#

Let AngleACB=b. Alpha=@
Sinb/20=sin@/x
Sinb/x=sin@/a
X/20=a/x
X^2=20a
Put Into #

a^2+10a-200=0
A=10
1/2 of (30)5√7=75√7

Tag me in solution immediate plz

@TheArjuna @Udte_bebak_parindey @shri_krishn @sun_sheen @
Plz solve

a^3-b^3/(a-b)^3=157/3
a^2+ab+b^2/(a^2+b^2-2ab)=157/3......a
Subtract -1 both sides
ab/(a-b)^2=154/9

a-b=3. Ab=154
A+b=√9+616=25
Ab=154*4=616 (4times actual) so number 25*2=50(2times)