Question

solve and follow the polyas method
Step 1: Understanding the problem
Step 2: Devise a plan(translate)
Step 3: Carry out a plan(solve)
Step 4: Look Back( Check and intercept​

Answer 1

Answer❀✿°᭄

Let Z be the number

Z = 13x + 11 where x is the quotient when Z is divided by 13

Z = 17y + 9 where y is the quotient when Z is divided by 17

13x + 11 = 17y + 9

13x + 2 = 17y since x and y are quotients they should be whole numbers . Since y has to be a whole number the left hand side should be multiple of 17

The least possible value of x satisfying the condition is 9 and y will be 7

The answer is 13*9 + 11 = 128 or it is 17*7 + 9 = 128

This is the least number possible. There will be multiple answers and will increase in multiples 17*13 = 221 like 349 , 570, etc

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Answer 2

${\boxed{\underline{\tt{ \orange{Required \: \: Answer:-}}}}}$

彡GIVEN:-

• Let Rose's age be x.

• Then Angie's age will be x+ 6.

• The sum of their ages = 18.

彡TO FIND:-

• Their Ages.

彡SOLUTION:-

According to Question,

$: \implies \tt{x + (x + 6) =18 }$

$: \implies \tt{x + x + 6 =18}$

$: \implies \tt{2x =18-6}$

$:\implies\tt{x = \frac{12}{2} }$

$:\implies{ \boxed{ \underline{ \tt{ \pink{x =6}}}}}$

Thereforw, Rose is 6 years old

And Angie is x + 6 = 6 + 6 = 12 years