the present age of smita's mother is 3 times the age of smita. after 10 years the age of the mother will be twice the age of smita at that time. find their present ages.

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Asked 8/7/2010 4:10:51 AM

Updated 7/8/2023 12:41:22 AM

2 Answers/Comments

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Expert answered|flamesrb|Points 5|

Question|Rated good

Asked 8/7/2010 4:10:51 AM

Updated 7/8/2023 12:41:22 AM

2 Answers/Comments

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3

Solution:

Let's denote Smita's present age as x. According to the problem, Smita's mother's present age is 3 times Smita's age, so we can express it as 3x.

After 10 years, Smita's age will be x + 10, and her mother's age will be 3x + 10.

3x + 10 = 2(x + 10)

3x + 10 = 2x + 20

3x - 2x = 20 - 10

x = 10

Therefore, Smita's present age is 10, and her mother's present age is 3 times that, which is 3 * 10 = 30.

Let's denote Smita's present age as x. According to the problem, Smita's mother's present age is 3 times Smita's age, so we can express it as 3x.

After 10 years, Smita's age will be x + 10, and her mother's age will be 3x + 10.

3x + 10 = 2(x + 10)

3x + 10 = 2x + 20

3x - 2x = 20 - 10

x = 10

Therefore, Smita's present age is 10, and her mother's present age is 3 times that, which is 3 * 10 = 30.

Added 7/8/2023 12:39:03 AM

This answer has been confirmed as correct and helpful.

3

Solution:

Let's assume the two-digit number to be represented as 10a + b, where 'a' represents the tens digit and 'b' represents the units digit.

a + b = 12

10a + b = 10b + a + 36

10a - a = 10b - b + 36

9a = 9b + 36

a = b + 4

b + 4 + b = 12

2b + 4 = 12

2b = 12 - 4

2b = 8

b = 4

a + 4 = 12

a = 12 - 4

a = 8

Therefore, the tens digit 'a' is 8, and the units digit 'b' is 4. So, the two-digit number is 84.

Let's assume the two-digit number to be represented as 10a + b, where 'a' represents the tens digit and 'b' represents the units digit.

a + b = 12

10a + b = 10b + a + 36

10a - a = 10b - b + 36

9a = 9b + 36

a = b + 4

b + 4 + b = 12

2b + 4 = 12

2b = 12 - 4

2b = 8

b = 4

a + 4 = 12

a = 12 - 4

a = 8

Therefore, the tens digit 'a' is 8, and the units digit 'b' is 4. So, the two-digit number is 84.

Added 7/8/2023 12:41:22 AM

This answer has been confirmed as correct and helpful.

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