Kongkangidn
Answered

IDNStudy.com, ang iyong gabay para sa maaasahan at eksaktong mga sagot. Tuklasin ang mga kumpletong sagot sa iyong mga tanong mula sa aming komunidad ng mga eksperto.

At present Mary is four years older than Peter. Peter’s age is five – sixths of Mary’s age.
What are their ages?

Sagot :

Jafif67556idn

Answer:

Peter is 20 years old and Mary is 24 years old

Step-by-step explanation:

1. Mary is four years older than Peter:

M = P + 4

2. Peter’s age is five-sixths of Mary’s age:

[tex]P = \frac{5}{6}M[/tex]

We can substitute the first equation into the second equation to find the values of ( P ) and ( M ):

[tex]{ \text{Substitute }( M = P + 4 ) \: into \: ( P = \frac{5}{6}M ):}[/tex]

[tex]P = \frac{5}{6}(P + 4)[/tex]

To solve for ( P ), first distribute :

[tex](\frac{5}{6})[/tex]

[tex]P = \frac{5}{6}P + \frac{5}{6} \cdot 4[/tex]

[tex]P = \frac{5}{6}P + \frac{20}{6}[/tex]

[tex]P = \frac{5}{6}P + \frac{10}{3}[/tex]

Next, subtract

[tex](\frac{5}{6}P)[/tex]

from both sides to isolate ( P ):

[tex]P - \frac{5}{6}P = \frac{10}{3}[/tex]

Combine the terms on the left side:

[tex]\frac{1}{6}P = \frac{10}{3}[/tex]

To solve for ( P ), multiply both sides by 6:

[tex]P = 6 \cdot \frac{10}{3}[/tex]

[tex]P = \boxed {20}[/tex]

Now that we know Peter's age (( P = 20 )), we can find Mary's age using ( M = P + 4 ):

[tex]M = 20 + 4[/tex]

[tex]M = \boxed {24}[/tex]

Natutuwa kami na ikaw ay bahagi ng aming komunidad. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong lumikha ng isang masiglang komunidad ng pagkatuto. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.