Question

5.
One of the two numbers is twice the other. The sum of the numbers is 15. Find the
numbers.
6.
After 36 years, Rehan will be 5 times as old as he is now. Find his present age.
7.
A number when divided by 9 gives 8 as quotient. Find the number.
​

Answer 1

Answer:

5. 5 + 10 =15

6. Rehan's present age is 9

7. 72 ÷ 9 = 8

Answer 2

5.

$let \: one \: no. \: be \: x \\ other \: no. = y \\ x > y \\ x + y = 15 \: eqn.1 \\ x = 2y \: eqn.2 \: \\ put \: in \: eqn.1 \\ 2y + y = 15 \\ 3y = 15 \\ y = \frac{15}{3} \\ y = 5 \\ put \: in \: eqn.2 \\ x = 2(5) \\ x = 10$

6.

$let \: rehan \: present \: age \: be \: x \: years \\ after \: 36 \: years \\ x + 36 = 5x \\ 5x - x = 36 \\ 4x = 36 \\ x = \frac{36}{4} \\ x = 9 \: years$

7.

$let \: the \: no. \: be \: x \\ \frac{x}{9} = 8 \\ x = 9 \times 8 \\ x = 72$

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