Sum of two numbers is 95 …

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Sia ? 6 years, 5 months ago
Let the smaller number be x.
Then, the larger number = x + 15
{tex}\because {/tex} Sum of two numbers is 95
∴ x + (x + 15) = 95
∴ 2x + 15 = 95
∴ 2x = 95 – 15 . . . . [Transposing 15 to R.H.S.]
∴ 2x = 80
∴ {tex}x = \frac{{80}}{2}{/tex}. . . . [Dividing both sides by 2]
∴ x = 40
∴ x + 15 = 40 + 15 = 55
Hence, the desired numbers are 40 and 55.
Verification
55 = 40 + 15
40 + 55 = 95
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