Question

read the instructions first
Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret​

Answer 1

Answer:

according to me just subtract 18 - 6 which is 12 so angies age should be 16 and rose s ages age should be 6 which is equal to 18

Answer 2

$\large\underline\purple{\bold{Solution :- }}$

Step :- 1 Understand the Problem

• Let the Angle's present age be 'x' years.

• Let the Rose's present age be 'y' years.

Step :- 2 Devise a plan

According to statement

• Angle's age is no less than 6 more than Rose's age.

$\rm : \implies \:x \geqslant y + 6$

$\boxed {\pink{\rm : \implies \:x - y \geqslant 6}} - - (i)$

According to statement,

The sum of their ages is greater than 18.

$\boxed {\pink{\rm : \implies \:x + y > 18}} - - (ii)$

Step :- 3 Carry out the plan

• Let consider the (i), we have

$\boxed {\pink{\rm : \implies \:x - y = 6}}$

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf - 6 \\ \\ \sf 7 & \sf 1 \\ \\ \sf - 6 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points

• Now, Let consider (ii), we have

$\boxed {\pink{\rm : \implies \:x + y = 18}}$

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 18 \\ \\ \sf 9 & \sf 9 \\ \\ \sf 18 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points

➢ See the attachment graph.

Step :- 4 Look back

Let us choose a coordinate (20,2) from the solution set.

Consider,

$\boxed {\pink{\rm : \implies \:x - y \geqslant 6}}$

$\rm : \implies \:20 - 2 \geqslant 6$

$\rm : \implies \:18 \geqslant 6$

Now, consider

$\boxed {\pink{\rm : \implies \:x + y > 18}}$

$\rm : \implies \:20 + 2 > 18$

$\rm : \implies \:22 > 18$