1.

If X+Y+Z =98; and the X:Y =2:3 ,Y:Z= 5:8. Find the value of Y

Answer» Y=30
Given : X+Y+Z =98 .......(1)and the X:Y =2:3 ,Y:Z= 5:8.Now, {tex}{X\\over Y}={2\\over 3}\\\\X = {2Y\\over 3}{/tex}Also,\xa0{tex}{Y\\over Z}={ 5\\over 8}\\\\Z= {8Y\\over 5}{/tex}Put values of X and Z in (1), we get{tex}{2Y\\over 3}+Y+{8Y\\over 5}= 98\\\\=> {10Y+15Y+24Y\\over 15}=98\\\\=> {49Y\\over 15}=98{/tex}=> Y = 30


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