Q35 of 113 Page 110

State whether the statements are true (T) or false (F).
In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x - 9).

false

let us assume 2-digit number be ‘yx’

‘x’ is at unit place and ‘y’ is at tenth place.

∴ according to the question

⇒ y + x = 9

∴y = 9-x

⇒ number will be (10y + x)

⇒ required number = 10(9-x) + x

⇒ required number = 90-10x + x

⇒ required number = 90-9x

⇒ Hence, it is not true.

State whether the statements are true (T) or false (F).

3 years ago, the age of a boy was y years. His 2 years ago was (y-2) years.

State whether the statements are true (T) or false (F).

Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.

State whether the statements are true (T) or false (F).

Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.

State whether the statements are true (T) or false (F).

The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

State whether the statements are true (T) or false (F).In a 2 digit number, the units place digit is x. If the sum of digits be 9, then the number is (10x - 9).