the age of A and B in the ratio 3:8 six years hence their ages will be in the ratio 4:9 .The present age of A is ?
Answers
• Let present age of A be 3M and present age of B be 8M
6 years later
- Age of A = 3M + 6
- Age of B = 8M + 6
» Six years hence their ages (age of A and b) will be in the ratio 4:9.
According to question;
→
Cross-multiply them
→ 9(3M + 6) = 4(8M + 6)
→ 27M + 54 = 32M + 24
→ 27M - 32M = 24 - 54
→ - 5M = - 30
→ 5M = 30
→ M = 6
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From above calculations we have M = 6
Now we have to find the present age of A and B
Present age of A = 3M
→ 3(6)
→ 18 years
Present age of B = 8M
→ 8(6)
→ 48 years
But according to question we have to find the present age of A.
So,
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Present age of A = 18 years
_________ [ ANSWER ]
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✡ VERIFICATION :
We have M = 6 (from above calculations)
Put value of M in this equation :
=>
=>
=>
=>
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Answer:
the age of A and B in the ratio 3:8 six years hence their ages will be in the ratio 4:9 .The present age of A is ?
Step-by-step explanation: