Question
Ten years from now, the ages of A and B will be in a
ratio of 7:9. C's current age is half of B's current age. Five years from now, the ratio of C's age to D's age will be 3:4. If the average of C's and D's current ages is 16, what is A's current age?Solution
C + D=32 years After 5 years=32 + 10 =42 years 7x=42 years x= 6 years C=3 * 6= 18 years Cβs present age=18 β 5 =13 years Bβs present age=13 * 2 =26 years After 10 years Bβs age=26 + 10 =36 years Aβs age after 10 years=7 / 9 *36 =28 years Aβs present age=28 β 10 =18 years
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