Question

Write as an equation:

Answer 1

Answer:

1. $x= 3(164-x)+36$

2.$\frac{4(120-b)}{2b}=34$

Step-by-step explanation:

The sum means two number are adding up.

Exceeds means subtraction.

1.Let the number larger number of x and other number y

x + y =164.. (1)

x - 3y = 36...(2)

x= 3y + 36

Putting value of x from (2) into (1).

So ,according to question we got equation:

x=3(164-x)+36

2. Let the number larger number of a and other number b

a + b = 120 ..(1)

$\frac{4a}{2b}=34$..(2)

Putting value of a from (1) into (2)

So ,according to question we got equation:

$\frac{4(120-b)}{2b}=34$

Answer 2

Answer: 1) 132 and 32

               $\bold{2) \dfrac{340}{3} and \dfrac{20}{3}}$

Step-by-step explanation:

Let x represent the larger number and y represent the smaller number.

*******************************************************************************************

1)

           x + y = 164     and     x = 3y + 36

(3y + 36) + y = 164

       36 + 4y = 164

               4y = 128

                 y =  32     and      x = 3(32) + 36

                                              x =   96   + 36

                                              x =       132

*******************************************************************************************

2)

          x + y = 120     and      $\dfrac{4x}{2y}=34$  ⇒   4x = 68y  ⇒   x = 17y

     (17y) + y = 120

             18y = 120

                $y=\dfrac{120}{18}$

                $y=\dfrac{20}{3}$    and    $x=17 \bigg( \dfrac{20}{3} \bigg)$

                                            $x= \dfrac{340}{3}$