Question
Download Solution PDF6 years hence, age of A is 22 years. The present age of A & B is 48 years. C is 10years younger than B. find the age of C.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
6 years hence, age of A is 22 years.
Present age of A + B is 48 years.
C is 10 years younger than B.
Formula used:
Let the present age of A be x, the present age of B be y, and the present age of C be z.
Calculation:
6 years hence, the age of A = 22 years, so present age of A is:
x + 6 = 22
⇒ x = 22 - 6 = 16 years
The present age of A + B is 48 years:
x + y = 48
Substitute x = 16 into this equation:
16 + y = 48
⇒ y = 48 - 16 = 32 years
C is 10 years younger than B, so the present age of C is:
z = y - 10 = 32 - 10 = 22 years
∴ The present age of C is 22 years.
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