SIMPLE EQUATIONS LEVEL 2

C.S.VEERARAGAVAN

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2

Numbers

Twice a number is 12 more than half the number.

What is the number?

1) 7 2) 6 3) 8 4) 9

2x = 12 +

4x = 24 + x

3x = 24

X = 8

I

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3

AgesThree years ago, Anurag’s age was thrice that of Bhragav. Two years hence Anurag’s age will be twice that of Bharagav. What is the present age of Anurag?1) 16 2) 18 3) 20 4) 22x – 3 = 3(y – 3) (1)(x + 2 ) = 2(y + 2) (2)x – 3y = – 6x – 2y = 2Hence – y = – 8 y = 8.X = 18.

II

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4

AgesGoutam is four times as old as Girija. Four years hence, the age of Goutam will be thrice that of Girija. What is the present age of Goutam?1) 20 2) 24 3) 28 4) 32x = 4y (1)x + 4 = 3 ( y + 4) (2)Using (1) in (2)4y + 4 = 3y + 12Y = 8Hence x = 32

III

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5

ALGEBRA2 Pencils and 3 pens cost Rs.82 Pens and 3 pencils cost Rs.7What is the cost of 5 pencils and 5 pens?1) 15 2) 12.50 3) 17.50 4) 202x + 3y = 83x + 2y = 7Hence 5x + 5y = 15.

IV

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6

AGESRajani’s age is 9 years more than half of her age.What is Rajani’s age?1) 18 2) 20 3) 22 4) 24x = 9 + 2x = 18 + xx = 18.

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7

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8

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9

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10

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11

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12

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13

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14

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15

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