Question

Richard and Teo have a combined age of 29. Richard is 5 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answer 1

Answer:

Let R be the age of Richard and T be the age of teo:

Set up the equations :

The combined age of Richard and Teo is 29.

R +T=29.

Richard is 4 years older than twice Teo's age

R=2T+ 5

Solve the equations :

Substitute (2) to (1) and solve for T:

(2T + 4) +T = 29

Answer 2

Step-by-step explanation:

$\huge{{\mathtt{\red{꧁A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R꧂}}}}$

ʟᴇᴛ ʀ ʙᴇ ᴛʜᴇ ᴀɢᴇ ᴏғ ʀɪᴄʜᴀʀᴅ ᴀɴᴅ ᴛ ʙᴇ ᴛʜᴇ ᴀɢᴇ ᴏғ ᴛᴇᴏ.

Sᴇᴛᴛɪɴɢ ᴜᴘ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ:-

ᴛʜᴇ ᴄᴏᴍʙɪɴᴇᴅ ᴀɢᴇ ᴏғ ʀɪᴄʜᴀʀᴅ ᴀɴᴅ ᴛᴇᴏ ɪs 31: ʀ+ᴛ=31

ʀɪᴄʜᴀʀᴅ ɪs ғᴏᴜʀ ʏᴇᴀʀs ᴏʟᴅᴇʀ ᴛʜᴀɴ ᴛᴡɪᴄᴇ ᴛᴇᴏ's ᴀɢᴇ:- ʀ= 2ᴛ+4

Sᴏʟᴠɪɴɢ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ:-

sᴜʙsᴛɪᴛᴜᴛᴇ (2) ᴛᴏ (1) ᴀɴᴅ sᴏʟᴠᴇ ғᴏʀ ᴛ:

(2ᴛ+4)+ᴛ=31

3ᴛ=27

ᴛ=9

ɴᴏᴡ, sᴏʟᴠᴇ ʀ ᴜsɪɴɢ (2):

ʀ=2(9)+4

ʀ=18+4

ʀ=22

ʜᴇɴᴄᴇ, ʀɪᴄʜᴀʀᴅ ɪs 22 ʏᴇᴀʀs ᴏʟᴅ ᴀɴᴅ ᴛᴇᴏ ɪs 9 ʏᴇᴀʀs ᴏʟᴅ.

Hope it helps u✌️