IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga maaasahang sagot. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

Mr. Sta. Maria is 5 years older than his wife. 5 years ago, his age was 4/3 her age. What willl be their ages 8 years from now?

Sagot :

Present Ages:
Mrs. Sta. Maria: x
Mr. Sta. Maria:  x + 5

Their ages 5 years ago:
Mrs. Sta. Maria: x-5
Mr. Sta. Maria:  (x+ 5) -5  or x

Comparison 5 years ago: Mr. Sta. Maria's age was 4/3 of his wife's age.
x = 4/3 (x-5)
x = 4x/3 - 20

LCD: 3; Multiply each term by 3.

(3)x = (3) (4x/3) - 3(20)
3x = 4x - 60
-4x + 3x = -60
-1(-x = -60)-1

x = 60

Present ages:
Mrs. Sta. Maria; x = 60 years old
Mr. Sta. Maria: x + 5 ⇒ 60 + 5 = 65 years old

Their ages in 8 years (Plus 8):
Mrs. Sta. Maria: 60 + 8 = 68 years old
Mr. Sta. Maria: 65 + 8= 73 years old

In 8 years, Mr. Sta. Maria will be 73 years old and his wife will be 68 years. old.