Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is 13. Find ... | SA 3m | Maths | SuperPadhai

Linear Equations > Question

SA3 marksYear: 2023EasyCBSE Class 10

linear-equationsword-problemsimultaneous-equations

Question

Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number is 13. Find the numbers.

Solution

1

Let the numbers be

x

and

y

,

x > y

.
Therefore

\frac{1}{2} (x - y) = 2

... (i)
and

2 y + x = 13

... (ii)

+1 mark

2

Solving equations (i) and (ii)

+1 mark

3

x = 7

,

y = 3

+1 mark

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