Solve the following equations:
v. Find the two consecutive odd numbers
1. The sum of two integers is 35 and the ratio
such that two-fifths of the smaller one is
of these integers is 2:3. Find these integers.
greater than two-ninths of the larger one
by 4.
2. A mother is 24 years older than her son.
After 4 years, the age of mother will be
8. A steamer goes downstream and covers
twice of the age of her son. Find the
the distance between two ports in 5
present age of mother and son.
hours while it covers the same distance
upstream in 6 hours. If the speed of the
3. 20 years later, Vimal will be 3 times as old
stream is 2 km/hr, find the speed of the
as he was 20 years back. Find the present
steamer in still water.
age of Vimal.
. The length of a rectangle is 9 cm more than
4. The sum of the digits of a 2-digit number
its breadth. If the length and breadth are
is 10. If 36 is subtracted from the number,
each increased by 4 cm, the area of new
the result is a number whose digits are
rectangle will be 84 cm? more than that
interchanged as compared to the original
of the given rectangle. Find the length
number. Find the numbers.
and breadth of the given rectangle.
5. In a team of players, two-thirds like
football, while one-sixth of the remaining 20. The denominator of a rational number
is 3 more than the numerator. If 1
like cricket. The rest 15 like hockey. How
is subtracted from numerator and
many players were there in the team?
denominator both, the rational number
6. Sunita's mother is thrice as old as Sunita.
in its simplest form is 1. What is the
After 10 years, she will be just twice as old
as her daughter. What are their present rational number?
ages?
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