please anyone help me....

a number consist of two digit whose sum is 8. if 18 is added to the number the digits change their places . find the number

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

The number is 35.

Siddharth Kumar - 8 years ago

how??

Pooja Arora - 8 years ago

pls give me step by step procedure...

Pooja Arora - 8 years ago

@Pooja Arora – $x$ is the digit at tens place and $y$ at units place.

$x+y=8$

$10x+y+18=10y+x$

Just solve these equations.

Aditya Parson - 8 years ago

@Aditya Parson – agreed...:)

A Former Brilliant Member - 8 years ago

@Aditya Parson – thanku so much.....

Pooja Arora - 8 years ago

@Pooja Arora – find the pairs of one-digit numbers whose sum is 8: $(1,7),(2,6),(3,5)$ then the possibilities are 17,26 and 35 by trial and error we get 35

Tan Li Xuan - 8 years ago

let the unit digit be x &tens digit be ythen original no.is10y +x. and 1st equation is x+y =8 and 2nd equation is 10y+x+18=10x+y then from eq.1 x=8-y substituting the value of x in 2nd equation 10y+8-y +18=10(8-y)+y 9y +26=80-10y+y 9y+26=80-9y 9y +9y=80-26 18y=54 y=3 x=8-3=5 no.=10*3+5 35

Nikhil Raj - 8 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$