Math, asked by SakshamKhanna4688, 14 days ago

Please tell answers. Thank you

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Answered by karnatiaruna6
1

first question

Smita's age

let it b x

s'mother is 3 times of her age so it wud b

3x

Simta'age=x

S'mother's age=3x

After 10yr.

Smita's age x*10=10x

Her mothrs's age =3x*10=30x

smita's mother is twice Smita's age now

SO,

10x*2 =30x*2

20x=60x

x=3 Smira's present age is 3

And her mother's age= 3*10=30

2nd question

Total value of the three prizes = 1500 Let the value of the 1st prize = x

2nd prize = 5x/6

3rd prize = 4/5 × ( 5x/6) = 2x/3

x + 5x/6 + 2x/3 = 1500

[6x + 5x + 4x]/6 = 1500 [LCM =6]

15x/6 = 1500 15 x = 1500 × 6

15x = 9000 x = 9000/15

x = 600

Value of 1st prize = x = 600

Value of 2nd prize = 5x/6 = (5 x 600)/6 = 5x 100 500

3rd prize = 2x/3 =( 2 × 600)/3 = 2 × 200 = 400

Hence, the value of 1st prize, 2nd prize & 3rd prize is 600, 500 & ₹ 400

3rd question

Let x be the unit digit and y be tens digit. Then the original number be 10x + y.

Value of the number with reversed digits is 10y + x.

As per question, we have x + y : 12.... (1)

If the digits are reversed, the digits is greater than the original number by 18.

Therefore, 10y + x = 10x + y + 18 9x9y = -18.... (2)

Multiply equation (1) by 9, we get

9x + 9y = 108.... (3)

Add equations (2) and (3),

18x = 90

⇒x=5

Substitute this value in equation (1), we

get

5+ y = 12 ⇒ y = 7

Therefore, the original number is 10x + y = 10 x 5 + 7 = 57..

sorry dude I didn't got 4,5

hopes it's helpful

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