ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 4

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A number consists of two digits whose sum is $5$ . When the digits are reversed, the new number becomes greater by $9$ . Find the number.

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Important Questions on Simultaneous Linear Equations in Two Variables

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9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 5

The sum of a two-digit number and the number obtained by reversing the order of its digits is

121

and the two digits differ by

3

. Find the number.

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ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 6

Seven times a given two-digit number is equal to four times the number obtained by reversing the order of digits. The sum of the digits of the number is

3

. Find the number.

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ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 7

If three times the larger of the two numbers is divided by the smaller one, we get

4

as quotient and

3

as remainder. Also, if seven times the smaller number is divided by the larger one, we get

5

as quotient and

1

as remainder. Find the numbers.

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9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 8

Divide

36

into four parts so that if

2

is added to the first part,

2

is subtracted from the second part, the third part is multiplied by

2

, and the
fourth part is divided by

2

, then the resulting number is the same in each case.

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ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 9

If the numerator of a fraction is increased by

2

and the denominator by 1, it becomes

\frac{5}{8}

and if the numerator and the denominator of the same fraction are each increased by

1

, the fraction becomes equal to

\frac{1}{2}

. Find the fraction.

EASY

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 10

If

1

is added to the denominator of a fraction, the fraction becomes

\frac{1}{2}

. If

1

is added to the numerator of the fraction, the fraction becomes

1

. Find the fraction.

EASY

9th ICSE

IMPORTANT

ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 11

When the numerator of a fraction is increased by

4

, the fraction increases by

\frac{2}{3}

. What is the denominator of the fraction?

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ICSE Mathematics>Chapter 5 - Simultaneous Linear Equations in Two Variables>Exercise>Q 12

Father is six times as old as his son. Four years hence he will be four times as old as his son at that time. Find their present ages.