Periodttt7
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The sum of bob mary and joe’s ages is 85. bob is 15 less than joe. Mary is twice joe. How old is Mary

Sagot :

devishri1977

Answer:

Joe's age = 25 years

Mary's age =  50 years

Bob's age   = 10 years

Step-by-step explanation:

Joe's age = x years

Mary's age = 2*x = 2x

Bob's age = x - 15

Sum of their ages = 85

x + 2x + x - 15 = 85

Combine like terms,

4x - 15 = 85

Add 15  to both sides

4x - 15 + 15 = 85 + 15

4x = 100

Divide both sides by 4

x = 100/4

x = 25

Joe's age = 25 years

Mary's age = 2*25 = 50 years

Bob's age = 25 - 15 = 10 years

Let Joe's age be x

Let Bob's age be x-15

Let Mary's age be 2x

Now,

[tex] \mathcal{Bob's \: age+ Joe's \: age+ Mary's \: age = 85}[/tex]

Substitute the values we just gave ATQ

[tex] \sf \: x - 15 + x + 2x = 85 \\ \sf \: 4x - 15 = 85 \\ \sf \: 4x = 85 + 15 \\ \sf \: 4x = 100 \\ \sf \: x = 25[/tex]

Find their ages with the help of value of x we just found!~

[tex]\large{|\underline{\mathtt{\red{b}\blue{o}\orange{b}\pink{'}\blue{ s }\purple{ \: }\green{a}\red{g}\blue{e}\purple{ \searrow}}}}[/tex]

[tex] \tt \: x - 15 \\ \tt \: 25 - 15 \\ \colorbox{lightyellow}{\bf \: = 10}[/tex]

[tex]\large{|\underline{\mathtt{\red{j}\blue{o}\orange{e}\pink{'}\blue{ s }\purple{ \: }\green{a}\red{g}\blue{e}\purple{ \searrow}}}}[/tex]

[tex] \tt \: x \\ \colorbox{lightyellow}{\bf \: = 25}[/tex]

[tex]\large{|\underline{\mathtt{\red{m}\blue{a}\orange{r} \green{y}\pink{'}\blue{ s }\purple{ \: }\green{a}\red{g}\blue{e}\purple{ \searrow}}}}[/tex]

[tex] \tt \: 2x \\ \tt \: 2 \times 25 \\ \colorbox{lightyellow}{\bf \: = 50}[/tex]

Therefore,

  • Bob's age = 10
  • Joe's age = 25
  • Mary's age = 50
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.