Question

For each of the questions write an equation to represent the information given and solve it.​

Answer 1

$\large\underline{\bf{Solution}}$

If 28 less than 5 times a certain number is 232.What is the number?

Equation formed=>5x-28=232

• On solving=>5x-28=232
• 5x=232+28
• 5x=260
• x=260\5
• x=52.

The sum of three consecutive integer is 93.What are the integers?

Equation formed=>(x-1) +(x) +(x+1)=93

• On solving=>(x-1)+(x)+(x+1)=93
• 3x=93
• x=93/3
• x=31

Find three consecutive odd integers so that the sum twice the first, second and three times the third is 152.

Equation formed=>2x+(x+2) +3(x+4)=152

• On solving=>2x+x+2+3x+12=152
• 6x+14=152
• 6x=152-14
• 6x=138
• x=138/6
• x=23

The perimeter of a rectangle is 44.The length is 5 less than double the width. Find the dimensions.

Equation formed=>2(2x-5+x)=44

• 2(3x-5)=44
• 6x-10=44
• 6x=54
• x=9

Two angles of a triangle are the same size. The third angle is three times as large as the first. How large are the angles?

Equation formed=>x+x+3x=180°

• 5x=180°
• x=36°