# Equation - examples - page 42

- Trapezium internal angles

A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D. - Eq1

Solve equation: 4(a-3)=3(2a-5) - Area of iso-trap

Find the area of an isosceles trapezoid, if the lengths of its bases are 16 cm, and 30 cm, and the diagonals are perpendicular to each other. - If-then equation

If 5x - 17 = -x + 7, then x = - Family 8

Father is 38 years old, daughter 12, son 14. How many years will father have as many years as his children together? - Lcd3

What is LCD of the equation of ? ? And what is x? - Candy

Peter had a sachet of candy. He wanted to share with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss 8 candies. How many friends did Peter have? - Unknown numbers

The sum of two consecutive natural numbers and their triple is 92. Find these numbers. - Modulo

Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 . - Clubhouse

There were only chairs and table in the clubhouse. Each chair had four legs, and the table was triple. Scouts came to the clubhouse. Everyone sat on their chair, two chairs were left unoccupied, and the number of legs in the room was 101. How many chairs w - Competitors

In the first round of slalom fell 15% of all competitors and in the second round another 10 racers. Together, 40% of all competitors fell. What was the total number of competitors? - Suzan

Susan's age will be after 12 years four times as much as twelve years ago. How old is Susan now? - Equation of circle 2

Find the equation of a circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis x. - Lighthouse

The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow shorter by 3 meters. How tall is the lightho - Quadratic inequation

If 5x + x² > 100, then x is not - Diamond diagonals

Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square and the side length is 13 cm. - Unknown number

I think the number - its sixth is 3 smaller than its third. - Summands

Find two summands of the number 42, so that its product is minimized. - Pears

There were pears in the basket. I took them two fifths and left them in a basket of six. How many pears I took? - Children

The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?

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