Jenifer is 7, times as old as his granddaughter emma . Three years ago , Jenifer was 10 times as old as emma . find the present age of jeniffer and emma
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Answer:
Jennifer's age is 63 and Emma's age is 9
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Answer:
- Present age of Jenifer = 63 years
- Present age of Emma (Jenifer's granddaughter) = 9 years
Step-by-step explanation:
Let
- Jenifer's age be x
- Jenifer's granddaughter Emma's age be y
It is given that
Jenifer is 7 times as old as Emma
→ x = 7y
3 years ago,
- Jenifer's age = (x - 3)
- Emma's age = (y - 3)
★ According to the question,
(x - 3) = 10 (y - 3)
⇒ x - 3 = 10y - 30
⇒ x = 10y - 30 + 3
⇒ x = 10y - 27
⇒ 7y = 10y - 27
⇒ 7y - 10y = -27
⇒ -3y = -27
⇒ y = -27 ÷ -3
⇒ y = 9
∴ Present age of Emma = 9 years
For finding the age of Jenifer,
x = 7y
→ x = 7 (9)
→ x = 63
∴ Present age of Jenifer = 63 years
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