Sum of two numbers is 105 and their difference is 45 . Find the numbers.

CBSE Class 10 Maths PYQ · Linear Equations · Word problems · 2 Marks · March 2024 · Standard

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772 Marks · March 2024 · Standard
Sum of two numbers is $105$ and their difference is $45$. Find the numbers.
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Let the numbers be $x, y (x > y)$
$x + y = 105 \dots (i)$
$x - y = 45 \dots (ii)$
on solving (i) and (ii)
$x=75 \& y = 30$
$\therefore$ Numbers are $75, 30$
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