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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

1) AGES OF ATHUL AND ANIL IN THE RATIO 5:7. IF ATHUL WAS 9 YEARS OLDER AND ANIL 9 YEARS YOUNGER. THE AGE OF ATHUL WOULD BE TWICE THE AGE OF ANIL. FIND THEIR AGES.

2)THE PRESENT AGEOF RAM'S MOTHER IS 3 TIMES OF RAM. AFTER 10 YEARS RAM'S MOTHER WILL BE TWICE AS RAM FIND THEIR PRESENT AGES.

1) let the ages be x and y. now, x/y=5/7, so, 7x=5y. and we also know that x+9/y-9=2 from this last equation, we get x= 2y-27 from the first equation, we get x=5y/7 therefore, 5y/7=2y-27. solving, we get y=21. now we know that x:y::5:7, so x must be 21/7*5, whish is 15.

Ans, Athul=15 yrs old Anil=21 yrs old

We can also check by what the question has given us. "IF ATHUL WAS 9 YEARS OLDER AND ANIL 9 YEARS YOUNGER. THE AGE OF ATHUL WOULD BE TWICE THE AGE OF ANIL. FIND THEIR AGES." so, 15+9 should be double of 21-9. 24=2(12). So we know our answer is right.

2) let the ages be x and y 3x=y. in ten years, ram and his mother will be x+10 and y+10 respectively. so, 2(x+10)=y+10

solving to get x in both equations we get: x= y/3, and, x= y-10/2. therefore, y/3=y-10/2 cross multiplying, we get: 2y = 3y-30 3y-2y=30. y=30. hence ram's age =30/3=10 RAM=10 yrs old RAM'S mother=30 years old.