The ratio of the present ages of Pandeyji and Chutki is 5 : 8. After 8 years, the ratio of their ages will be 7 : 10, find the ratio of their ages after 12 years
plz answer correctly
Answers
Answer:
P's present age = 8x years
Q's present age = 5x years
After 4 years,
8x+45x+4=43
=> 24x + 12 = 20x + 16
=> 4x = 4 => x = 1
P's age 7 years hence = 8x + 7 = 8 + 7 = 15 years
Required ratio = 15 : 5 = 3 : 1
Age of P = 5x =5×1 =5years.
Age of Q = 8x =8×1=8years.
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Step-by-step explanation:
p=(5/8)q
(p+4)=2/3(q+4)
Distribute
p+4-2/3(q)+2/3(4)
Do math
p+4=2/3(q)+8/3
Substitute (5/8)q for p
(5/8)q+4-2/3(q)+8/3
Subtract 5/8(q) from both sides, subtract 8/3 from both sides
4-8/3-2/3(q)-5/8(q)
Find LCDs of fractions
12/3-8/3-16/24q-15/24q
Combine like termsFind LCDs of fractions
12/3-8/3-16/24q-15/24q
Combine like terms
4/3-1/24(q)
Multiply both sides by 24
96/3=q
Reduce fraction
q=32
Substitute 32 for q
p=5/8(32)
Do math
p=20
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