The sum of ages of deepika and priyanka is 32. Priyanka is elder to deepika by 6 years . Find their current ages
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Answer :
Let the present age of Deepika and Priyanka be x years and y years respectively.
According to first Condition :]
➵ x + y = 32 .........[Equation (1)]
According to Second condition :]
➵ x = y + 6 ..........[Equation (2)]
Now, Substituting equation (2) in equation (1), we get :]
➥ x + y = 32
➥ y + 6 + y = 32
➥ 2y = 32 - 6
➥ 2y = 26
➥ y = 13 years
Now, Substituting value of y = 13 in equation (1), we get :]
➦ x + 13 = 32
➦ x = 32 - 13
➦ x = 19 years
⛬ Present Age of Deepika and Priyanka is 13 years and 19 years respectively.
Step-by-step explanation:
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Answered by
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Aʙsᴡᴇʀ:
- The present age of deepika = 13 yrs
- The present age of Priyanka = 19 yrs
Gɪᴠᴇɴ:
- The sum of ages of deepika and priyanka is 32. Priyanka is elder to deepika by 6 years.
Nᴇᴇᴅ Tᴏ Fɪɴᴅ:
- The present age of deepika = ?
- The present age of Priyanka = ?
Solution:
Let,
- The age of deepika = y
Then,
- The age of priyanka = y + 6
Aᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ:
➦ y + y + 6 = 32
➦ 2y = 32 - 6
➦ 2y = 26
➦ y = 13
- The present age of deepika = 13 yrs
- The present age of Priyanka = 13 + 6
- The present age of Priyanka = 19 yrs
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