The sum of two number is to and the difference of them 142. Then the greater number of these two is?
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Step-by-step explanation:
Let us assume, the two numbers are x and y.
Given:
3x + y = 142 ------------1
And also given:
4x – y = 138
y = 4x – 138 --------------2
Substitute the value of y from eqn 2 in eqn 1
3x + 4x – 138 = 142
7x - 138 = 142
7x = 142 + 138
7x = 280
x = 40
Therefore, y = (4 * 40) – 138 = 22
The two numbers are 40 and 22
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