Question

Solve the following pair of linear equation by cross multiplication mehod:-
a number is 3 less than another number by adding 17 to twice the larger number it becomes thrice the smaller number. Find this number.

Answer 1

Answer:

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Answer 2

Given:-

• A number is 3 less than another number.
• By adding 17 to twice the larger number it becomes thrice the smaller number.

To Find:-

• Find this number.?

Solutions:-

• Let the largest number be x
• Let the smaller number be y

We have,

• A number is 3 less than another number. By adding 17 to twice the larger number it becomes thrice the smaller number.

According to the questions;-

=> 2x + 17 = 3(x - 3)

=> 2x + 17 = 3x - 9

=> 2x - 3x = -9 - 17

=> -x = - 26

=> x = 26

So,

• Larger numbers => x = 26
• Smaller number => x - 3 = 26 - 3 = 23

Hence, the two numbers are 26 and 23 .