Alright, lets get started.
The ages of all four sisters will be = x, x+2, x+4, x+6
As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

Simplifying the equation



So this is the age of youngest sister.
So, age of oldest sister will be 
Hene the age of oldest sister is 42 years. : Answer
Hope it will help :)
The answer to this question should be 145
Answer:
lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○
Look at the picture.
ΔABD and ΔBCD are similar, therefore:

Use Pythagorean theorem:
There are 12 cards with different letters & patterns. The probability of randomly choosing [random card] is #[random card]/total cards.
Think of that as ratio as a %chance or probability of written as P(X). The question says to write the %chance as a fraction.
1) 2/12 = 1/6
2) 2/12 = 1/6
3) 0/12 = 0
4) 12/12 = 1
5) This is tricky. M & T would imply one card with both letters on it. 0/12 = 0
6) 4/12 = 1/3
7) 6/12 = 1/2
8) 5/12
9) 3/12 = 1/4
10) 8/12 = 2/3
11) 10/12 = 5/6
12) Odds = [favorable]:[unfavorable] = 5:7