at the time of wedding the brides age was 3/4 of the grooms age .after 8 years her age is 4/5 of her husband's age. find the age of the bride at the time of our wedding
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Answered by
10
Let groom's age be x
then' bride's age be 3x/4
bride's age after 8 years=3x/4 +8
then ,groom's age after 8 years =x+8
3x/4 +8=4/5(x+8)
3x/4 +8=4x/5 + 32/5
3x/4 -4x/5=32/5 - 8
-x/20=-8/5
-x=-8×20/5
=x=32
bride's age after 8years =3×32/4
=24
then' bride's age be 3x/4
bride's age after 8 years=3x/4 +8
then ,groom's age after 8 years =x+8
3x/4 +8=4/5(x+8)
3x/4 +8=4x/5 + 32/5
3x/4 -4x/5=32/5 - 8
-x/20=-8/5
-x=-8×20/5
=x=32
bride's age after 8years =3×32/4
=24
Answered by
21
Answer:
24 years old
Step-by-step explanation:
Define x:
Let the Groom be x years old at the wedding
Bride = 3/4 x
Find the age 8 years later:
Groom = x + 8
Bride = 3/4 x + 8
Solve x:
The Bride is 4/5 the age of the Groom
3/4 x + 8 = 4/5 (x + 8)
3/4 x + 8 = 4/5 x + 32/5
4/5 x - 3/4 x = 8 - 32/5
1/20 x = 8/5
x = 8/5 ÷ 1/20
x = 32
Find the bride's age at the wedding:
Bride = 3/4 x = 3/4 (32) = 24 years old
Answer: The bride was 24 years old at the wedding.
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