algebra problems

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NUMBER PROBLEMS 1. The sum of three numbers is 100. Find the numbers if the second number is 10 more than twice the first and the third is ten less than the sum of the first two. Find the numbers. 2. If 2 is added to half of a number, the result is one more than the original number. What is the original number? 3. Three less than five times a certain number is equals to 67 more than one-third of the number. Find the number. 4. The sum of two numbers is 29. If the smaller is doubled and the larger is increased by 7, the resulting numbers will be equal. Find the numbers. 5. Separate 60 into two parts such that one number is one- fourth of the other.

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Page 1: Algebra problems

NUMBER PROBLEMS

1. The sum of three numbers is 100. Find the numbers if the

second number is 10 more than twice the first and the third

is ten less than the sum of the first two. Find the numbers.

2. If 2 is added to half of a number, the result is one more

than the original number. What is the original number?

3. Three less than five times a certain number is equals to 67

more than one-third of the number. Find the number.

4. The sum of two numbers is 29. If the smaller is doubled and

the larger is increased by 7, the resulting numbers will be

equal. Find the numbers.

5. Separate 60 into two parts such that one number is one-

fourth of the other.

DIGIT PROBLEMS

Page 2: Algebra problems

1. The units digit of a two-digit number exceeds thrice the

tens digit by 1. The sum of the digits is 9. Find the

number.

2. The sum of the digits of a two-digit number is 15. One third

of the number diminished by 12 is 17. Find the number.

3. The tens digit of a two-digit number is 3 less than the

units digit. The number is four times the sum of the digits.

Find the number.

4. The units digit of s two digit number is 5 more than the

tens digit. If the sum of the digits is one-third of the

number, find the number.

5. The tens digit of a two digit number is 5 more than the

units digit. The number is 8 times the sum of the digits.

Find the number.

AGE PROBLEMS

Page 3: Algebra problems

1. Rex is 30 years younger than his father. His mother is three

times as old as her son. Find Rex’s age if his father is two

years older than his mother.

2. Jason is now three times as old as Helston. Three years from

now, Jason will be six times as old as Helston one year ago.

Find their present ages.

3. Ten years from now, Michael will be twice his age ten years

ago. How old is Michael now?

4. Raymond is 6 years older than Lowell, his brother. Four

years from now Raymond will be twice as old as Lowell. How

old are they now?

5. Two years ago, Greg was 3 times as old as his brother. In

four years, he will be only twice his brother’s age. How old

are they now?

WORK PROBLEMS

Page 4: Algebra problems

1. It takes Mario 1 hour to milk all of the carabaos, and it

takes Cora 1.5 hours. How long will it take them to do the

job together?

2. Tony can load the truck in 40 minutes. If his son Paolo

helps him, it takes them 15 minutes, how long will it take

Paolo to finish alone?

3. Mr. Amador can mow his lawn in 2 hours. His son A

Mariing itinanggi kahapon ni Senadora Cynthia Villar ang alegasyong hindi nagamit nang tama ang Priorities Development Assistance Fund (PDAF) na ibinigay niya sa Las

Page 5: Algebra problems

Piñas City kasabay ng paglilinaw na nagresulta pa nga ito sa milyong savings at isang award-winning project na kinilala sa buong mundo.

Inihayag ni Villar, na naging kongresista ng Las Piñas noong 2001 hanggang 2010, na bago siya nahalal na senador, ang kanyang PDAF ay ipinagkaloob niya sa kanilang distrito sa nasabing lungsod upang maiangat ang pamumuhay ng kanyang mga kababayan, partikular ang nangaghihirap.

With this as guidepost, I have made sure that the identification of PDAF projects was done strictly in accordance with the menu and guidelines dictated by the Develpoment of Budget and Management (DBM), ani Villar.

Binigyang-diin din ni Villar na dahil sa waste processing system na tinustusan ng pondo mula sa kanyang PDAF, nakatipid ang Las Piñas ng P300 milyon sa garbage disposal. Bukod dito, nabigyan din ng pagkakataong makatrbaho ang mahihirap niyang kababayan.

Ani Villar, nais din niyang ilahad ang mga proyektong pinondohan ng kanyang congressional PDAF ay nakatuon sa rehabilitasyon ng mga ilog at iba pang daluyan ng tubig upang maiwasan ang pagbaha para mapangalagaan ang buhay at pag-aari ng ating mga kababayan.

Ipinagmalaki pa ni Villar na noong 2011, nakamit ng Las Piñas-Zapote River Rehabilitation Program ang “Best Water Management Practice Award” mula sa United Nationals (UN) Water for Life event sa Zaragoza, Spain. May 38 bansa ang naglaban-laban upang makamit ang parangal na ito.

Binanggit din ng senadora na noon pang Agosto 28, 2012, sinagot na ng Las Piñas City ang mga isyu na tinukoy sa Commission on Auditing (COA) report kaugnay sa paggamit ng kanilang PDAF at alegasyon ng umano’y iregularidad kaugnay nito

PDAF ni Villar nagdulot ng P300M annual savings at award-winning project