Question

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Answer 1

Answer:

21. -15/34.

22. ∠A = 60°, ∠B = 40°, ∠C = 80°

23. The original number is 93.

24. Raj is 5 yrs. old and Ram is 15 yrs. old

25. ₹60.

26. The original number is 82.

Step-by-step explanation:

21.

(2 - 1/2 D) + D = 19

D = 34

N = 2 - 1/2 D

N = -15

N/D = -15/34

22.

2/3(∠A) + (20° + ∠A) + (∠A) = 180°

∠A = 60°

∠B = 2/3(60°) = 40°

∠C = 20° + 60° = 80°

23.

10x + y, 10y + x

x =3y

10y + x + 54 = 10x + y

10y - y + 54 = 10x - x

9y + 54 = 9x

9y + 54 = 9(3y)

9y + 54 = 27y

18y = 54

y = 3, x = 9

Number is 93.

93 - 94 is 54.

24.

Let Raj's age = x

Ram's age = 3x

After 5 years

Raj's age = x + 5

Ram's age = 3x+5

3x + 5= 2(x + 5)

3x + 5=2x + 10

3x - 2x = 10 - 5

x = 5 (Raj's)

3x = 15 (Ram's)

25.

K + (3/5)K = 96

K = ₹ 60

26.

10x + y, 10y + x

y = 4x

10y + x + 54 = 10x + y

10y - y + 54 = 10x - x

9y + 54 = 9x

9(4x) + 54 = 9x

36x + 54 = 9x

27x = 54

y = 8, x = 2

Number is 82.

82 - 28 is 54.