You do not get an standard deduction for a dependent you are claiming. If you are a married couple 65 or older your standard deduction is $26,600. If you are claiming a dependent you get the credit for other dependents for that person.
CREDIT FOR OTHER DEPENDENTS
https://ttlc.intuit.com/questions/4499708-what-is-the-500-credit-for-other-dependents-family-tax-cre...
2018 Standard Deductions:
Single $12,000 (+ $1600 65 or older)
Married Filing Separately $12,000 (+ $1300 65 or older)
Married Filing Jointly $24,000 (+ $1300 each spouse 65 or older)
Head of Household $18,000 (+ $1600 65 or older)
Look at line 8 of your Form 1040 to see your standard or itemized deductions.
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